complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?

Answers

Answer 1

Answer:

Step-by-step explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

Apply the pythagorean identity  

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

sin

2

θ

)

=

cos

2

θ

sin

2

θ

cos

2

θ

sin

2

θ

=

cos

2

θ

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!


Related Questions

A bag contains 140 marbles, some white some blue. The ratio of white marbles to blue ones is 5:2. How many blue marbles are there?

Answers

Answer:

40

Step-by-step explanation:

5 + 2 = 7

140 div by 7 = 20

2 times 20 = 40

plzzz help I need help with this question will give you brainliest!!!!!

Answers

Zero softballs with a diameter of 3.8 inches will fit into the container as length of the container is less the diameter of the softball.

Zero softballs can fit in length and zero softballs will fit in width.

Why-

Length of the square base in rectangular pyramid = s

Breadth of the square base in rectangular pyramid = s

Height of the square base in rectangular pyramid, l = 11 inches

Volume of the square base in rectangular pyramid, V=

Volume of the cuboid =  l × b × w

V= s × s × l

s = 3 inches

Softballs with a diameter of 3.8 inches.

What does it mean for an equation to be a radical equation?

Answers

Answer:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

Step-by-step explanation:

A equation which the variable is under a root. The root is typically a square root, but it can be a cube root or other roots - - it won’t change how you solve the equation.

A circle with a radius of 8 centimeters. Use the diagram to complete each statement. Use 3.14 for π, when necessary. The radius of the circle is cm. The circumference of the circle is about cm. The area of the circle is about cm2.

Answers

Answer: 200.96 cm area

Step-by-step explanation:

Area=3.14(r^2)

Area=3.14(64)

Area=200.96

Answer:

8

50.24

200.96

Step-by-step explanation:

Last night the temperature in New York City went down t 4 degrees F. In Antarctica, the temperature went down to -20 degrees F. What is the difference between the two temperatures?

Answers

Your answer is 24
(4)-(-20)=24
|24|=24

Answer:

The answer is -16

Step-by-step explanation:

The product of 2 and the sqrt of 3 and 3 and the sqrt of 12 in simplified form is _______? (your supposed to answer the stupid question yourself. your meant to simplify 2 and the sqrt of 3 and 3 and the sqrt of 12 to get your answer so don't report it for being incomplete)

Answers

Answer:

[tex](2 \sqrt{3} )(3 \sqrt{12}) = 6 \sqrt{36} = 6(6) = 36[/tex]

Louise sold 340 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell? A. 22 B. 20 C. 19 D. 21

Answers

The answer is B she sold 20 groups of soft pretzels

Answer:

she sold 20 pretzels 340/17 =20

Step-by-step explanation:

The first side of a triangle measures 5 in. less than the second side, the third side is 3 in, more than the first side, and the
perimeter is 17 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
A. s - 5
B. s-2
C. s+3​

Answers

Final answer:

The third side of the triangle is determined by the expression 's - 2 inches', where s represents the length of the second side of the triangle.

Explanation:

To find the length of the third side of the triangle, we can first define the lengths of the other two sides in terms of s, the length of the second side. The first side is s - 5 inches, according to the problem statement. Since the third side is 3 inches more than the first side, its length would be (s - 5) + 3, which simplifies to s - 2 inches.

Now, knowing that the perimeter of the triangle is 17 inches, we can set up an equation to include all three sides: s + (s - 5) + (s - 2) = 17 inches. Solving this equation for s will give us the length of the second side and consequently the length of the third side using s - 2 inches.

Which expressions are equivalent to -90 – 60w?

Answers

Answer:

-30 (2w + 3) is the only one I can figure out.

I hope this helped tho!! :]

Please help! i couldnt copy and paste it into here so i decided to just screenshot it :)

Answers

Answer: Congruent

How;

Congruent angles are angles that have equal degree measure! Hope this helps!
I’m pretty sure congruent I’m not positive tho

A cylinder has a height of 19 feet and a radius of 6 feet. What is the volume. Use 3.14 as pi and round the answer to the nearest hundredth

Answers

ANSWER:V≈2148.85.I hope this helps!!

Which rays form the sides of WXY?
ロロロロロロ
D. XW
E. Ws

Answers

Answer:

XY and XW

Step-by-step explanation:

The diagram below shows a 20-foot ladder leaning against a wall. The bottom of the ladder is 10 feet from the
base of the wall.
20 ft.
Wall
2-
101. -
Based on the dimensions in the diagram, what is the value of x?

Answers

The value of ∠x is 30⁰. Option B is correct.

How to determine the ratio value of ∠x in the figure.

From the given figure,

The triangle formed by ladder is right angled triangle

∠x⁰ is opposite to the horizontal distance between the foot of the and the point where the ladder touches the ground.

The ladder form the hypotenuse of the triangle.

Therefore,

sinθ = opposite/hypotenuse

θ is the angle opposite to distance between the wall foot and the ladder.

θ = x⁰

opposite = 10 ft

hypotenuse = 20 ft

so,

Sin(x) = 10/20

sin(x) = 1/2

find the sine inverse of (0.5)

x = sin⁻¹(0.5)

x = 30⁰

The value of ∠x is 30⁰. Option B is correct.

Which of the following theorems verifies that DEF - XZY?

Answers

Answer:

AA

Step-by-step explanation:

Final answer:

The question is about the congruency of two triangles DEF and XZY. A Congruence Theorem (SSS, SAS, ASA, or AAS) would demonstrate their congruence, but without specific measurements, we can't identify which theorem applies.

Explanation:

The subject area of this question is Geometry, more specifically, the concepts concerning triangles. The given notation, DEF - XZY, suggests that the student wants to establish the congruency between the two triangles DEF and XZY.

Based on the information provided, the student is likely referring to a Congruence Theorem, which is one of the primary methods to determine if two given triangles are congruent. The main Congruence Theorems are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Without any additional specification, it's impossible to definitively say which theorem supports DEF - XZY. The student would need to provide specific measurements related to the triangles DEF and XZY, such as the lengths of the sides or the measures of the angles, to determine which Congruence Theorem applies.

Learn more about Congruence Theorem here:

https://brainly.com/question/34422889

#SPJ2

2x^2-19x+9=0 quadratic formula or zero product property. Which ever is easier?

Answers

Answer:

9

Step-by-step explanation:

x=9

PLEASE ANSWER QUICKLY!
Frank is 6 inches taller than his young brother, Pete. Pete's height is p . Write an algebraic expression to represent Frank's height.

Answers

p + 6 = franks height

Answer:

P + 6

Step-by-step explanation:

Select the correct answer.
Which relation does not represent a function?

A. {(3, 0), (0, 3)}
B. {(6, -2), (5, -2)}
C. {(3, 4), (3, 5)}
D. {(5, 5), (-5, -5)}
E. {(1, -2), (-2, 1)}

Answers

Final answer:

Relation C: {(3,4), (3,5)} does not represent a function because it has the same first component with different outputs.

Explanation:

In Mathematics, a relation is defined as a set of ordered pairs. A relation is considered as a function if for each input (x value), there is exactly one output (y value). In other words, no two distinct ordered pairs in the function have the same first component. Looking at the options given:

A. {(3, 0), (0, 3)}B. {(6, -2), (5, -2)}C. {(3, 4), (3, 5)}D. {(5, 5), (-5, -5)}E. {(1, -2), (-2, 1)}

The relation C. {(3,4), (3,5)} does not represent a function because there are two distinct ordered pairs with the same first component (or x-value) which is 3, but with two different y-values which are 4 and 5. Therefore, this relation violates the definition of a function.

Learn more about Function here:

https://brainly.com/question/35114770

#SPJ2

Final answer:

The relation that does not represent a function is Option C: {(3, 4), (3, 5)} because the number 3 in the domain is paired with two different values in the range, contradicting the definition of a function.

Explanation:

The relation that does not represent a function is Option C: {(3, 4), (3, 5)}. This is because a function is defined as a set of ordered pairs where each element of the domain (the first value in each pair) must correspond to exactly one element in the range (the second value in each pair). Option C depicts the number 3 in the domain being paired with both 4 and 5 in the range, which violates this rule. Therefore, Option C does not satisfy the definition of a function.

Option A, B, D, and E each show that every element of the domain is matched with only one unique value in the range, indicating they are all functions.

1. Find the next three terms of the arithmetic sequence.

12, 9, 6, 3, ___ ,___ ,___

2. Find the next three terms of the arithmetic sequence.

-2, 2, 6, 10, ___, ___, ___

3. Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)

15, 13, 11, 9

Answers

Answer: of the first one 0 , -3, -6. Second 14, 18, 22

Step-by-step explanation:

The diameter of a circle measures 17 mm. What is the measure of its radius ?

Answers

Answer:

the radius is 8.5 mm

Write this in word form.
a ≤ 20 and a ≥ 25

Answers

Answer:

ok so for a ≤ 20 it is A is less than or equal to 20

a ≥ 25 is A is greater than or equal to 25

Step-by-step explanation:

whenever you have a symbol like ≥, where it has a line under it, it means it could be equal to. And when the symbol is like a<20 (where < is the alligator it eats the bigger number so 20 is larger) And this means a is less than but since there is ≥ then its Equal to as well. :) sorry if this is confusing i will be willing to further explain if needed.

3(c+5) = 12
so what does c= ?

Answers

Answer: 4

Step-by-step explanation:

12 - 5 = 7,

7 - 3 = 4.

The answer to this is 4.

20 BRAINLY POINTS!!!!!!!!!!!!!!!

Answers

Answer:

is A , D , C

maybe b not sure

The answer is “ B” outta all of them

The most popular pizza at Pizza Parlor is a large pizza with a 12- inch radius. which of the following best represents the circumference of this pizza?

Answers

Answer:

75.3982236862

Step-by-step explanation:

Answer:

I believe the answer is 75.36

what condition must be true for 2 nonintersecting lines?

-they have different slopes

-they have the same slope

-they have different y-intercepts

-they have the same y-intercepts

Answers

Answer:

they have the same slope.

Plz plzplzplzplz help me plz

Answers

Answer:

ok

Step-by-step explanation:

In isosceles △ABC with AC = AB, points D ∈ AB and E ∈ AC so that DB = EC. Point P is the intersection point of DC and EB, m∠ADC = 107°, m∠ABE = 45°. Find m∠BAP.
Please show work.

Answers

9514 1404 393

Answer:

  14°

Step-by-step explanation:

∠ADP is an external angle to ΔDBP, so ...

  ∠ADP = ∠DBP + ∠DPB

  107° = 45° + ∠DPB

  ∠DPB = 107° -45° = 62°

∠DPB is an external angle to isosceles triangle PBC, so ...

  ∠DPB = 2×∠PBC

  62° = 2×∠PBC

  ∠PBC = 62°/2 = 31°

Of course, the angle sum theorem applies at vertex B, so ...

  ∠ABC = ∠ABP +∠PBC

  ∠ABC = 45° +31° = 76°

AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:

  ∠BAP = 90° -∠ABC

  ∠BAP = 90° -76°

  ∠BAP = 14°

Final answer:

m∠BAP = 124°

Explanation:

Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:

m∠ADC = m∠AEB

107° = 45° + m∠ABD

m∠ABD = 107° - 45°

m∠ABD = 62°

Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:

m∠BAP = m∠ADB + m∠ABD

m∠BAP = 62° + 62°

m∠BAP = 124°

You have ​$90 in your bank account. Each week you plan to deposit ​$8 from your allowance and ​$15 from your paycheck. The equation bequals90plus​(15plus8​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$200 in your bank​ account?

Answers

B=200 so place it next to the equation and then just solve for w

Find the sum. Enter your answer in lowest terms in the box below as a
fraction, using the slash mark ( 7 ) for the fraction bar.
7/20
3/9
Answer here​

Answers

Answer:

41/60

Step-by-step explanation:

7

20

+

3

9

Cancel the common factor of

3

and

9

.

Tap for more steps...

7

20

+

1

3

To write

7

20

as a fraction with a common denominator, multiply by

3

3

.

7

20

3

3

+

1

3

To write

1

3

as a fraction with a common denominator, multiply by

20

20

.

7

20

3

3

+

1

3

20

20

Write each expression with a common denominator of

60

, by multiplying each by an appropriate factor of

1

.

Tap for more steps...

7

3

60

+

20

60

Combine the numerators over the common denominator.

7

3

+

20

60

Simplify the numerator.

Tap for more steps...

41

60

The result can be shown in multiple forms.

Exact Form:

41

60

Decimal Form:

0.68

¯

3

The steps in solving 5b-6=24 are
A. Add 6 to both sides and divide both sides by 5
B. Add 6 to both sides and multiply both sides by 5
C. Subtract 6 from both sides then multiply both sides by 5
D. Subtract 6 from both sides then divide both sides by 5
I need the answer​

Answers

Answer:

the answer is A.

Step-by-step explanation:

5b-6=24

add 6 to both sides

5b=30

divide 5 to both sides

b=6

hope this helps

(mark as brainliest)

The steps in solving 5b-6=24 are adding 6 to both sides and dividing both sides by 5, the value of b is 6.

What is the linear equation?

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable.

The given equation is;

5b-6=24

The steps are used to solve the problem given below.

Add 6 to both sides

5b-6=24

5b - 6+6 = 24 +6

5b =30

Divide both sides by 5

5b/5 = 30/5

b= 6

Hence, the steps in solving 5b-6=24 are adding 6 to both sides and dividing both sides by 5, the value of b is 6.

Learn more about linear equations here;

https://brainly.com/question/11897796

#SPJ2

Based on the data set shown, which of the following is a true statement?

-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

mean = mode
mean < median
mode < median

Answers

Answer:

mean = mode

Step-by-step explanation:

To make this easier, let's find the mean, median, and mode.

Mean: Sum of a set of numbers divided by number of terms

Median: Middle number of data when data is in numerical order

Mode: Number that occurs most often in data

To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.

To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.

To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.

Since all numbers are equal, the only possible answer is the first option.

The mean, median, and mode are all equal; thus, a.) mean = mode is true.

Sum of all values: (-1) + (-1) + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11

Number of values: 11

Mean = Total sum / Number of values = 11 / 11 = 1

Arrange the values in ascending order: -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

The middle value (6th value) is 1

Median = 1

The value that appears most frequently is 1 (occurs 4 times)

Mode = 1

Comparing these values:

Mean = 1

Median = 1

Mode = 1

Other Questions
Perimeter of an isosceles triangle is 90 m. If the length of the two equal sides is three fourth of the unequal side , find the dimensions of the triangle Cul es el rea de superficie de una esfera con un dimetro de 10 mm ? Redondea al nmero entero ms prximo How would investing in education and skills training (human capital) for workers affect the GDP? Why? Why is it important for a leader to find out the talents and abilities of those he or she is working with? How can carbon dioxide be considered a pollutant when it is a natural component of air?a Carbon dioxide is considered a pollutant even though it is a natural component of air, because it isharmful to all living organismsb Carbon dioxide is considered a pollutant when larger concentrations than normal are present in theair as a result of human activityCarbon dioxide is considered a pollutant, because it forms harmful chemicals when mixed withother pollutants in the aird. Carbon dioxide cannot be considered a pollutant under any circumstancesPlease select the best answer from the choices providedOAOCODASAP PLEASE 5. Solve the equation.6i - 10 = - 82Equation: Please help me with this. What does the phrase extreme environments suggest as it is used in the sentence below?Organisms that use chemosynthesis live in extreme environments, where the toxic chemicals needed for oxidation are found.(A) that the organisms live in places where toxins are scarce(B) that the organisms live off the high heat of the sun(C) that the organisms live far away and by themselves(D) that the organisms live in harsh conditionsplz reply!!! How can Americas original role in the outbreak of WWII be compared to its role in the outbreak of WWI? What are the glaring similarities? Which event happens as the amplitude of a light wave increases?A. The light appears more violet.B. The light appears dimmer.C. The light appears brighter.D. The light appears more red. What is the permutation of the word cheese Last week, Kip went to the fair. It costs $3.50 to enter the fair and $0.75 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.y = $0.75x + $3.50If Kip spent $15.50 at the fair, how many tickets did he buy? Scientists studying human genes could obtain DNA from a cellsA.vacuoleB. ribosomeC. nucleusD. cytoplasm An asynchronous culture is given 3H-thymidine for a period of time, usually about 30 minutes. During the labeling period, 42% of the cells incorporate radiolabel. At numerous times after the exposure, samples of the cells were collected and autoradiograms were prepared. The first radiolabeled mitotic figures appeared in the sample that was collected six hours after the 3H-thymidine radiolabel was first presented to the cells. The autoradiograms were stored for 75 hours before they were developed. How long is the G2 phase PLEASE ANSWER IF YOU CAN!!A holiday decoration is a construction from two square pyramids that are joined together at their bases. The edge of each square is 4.5 inches. The slant height of the triangular faces is 7 inches. What is the surface area of the decoration? A population density map shows? A. the ages of people in an area. B. the income of people in an area. C. how many people are from a certain area. D. how many people live in a certain area. Refrigerant 22 flows in a theoretical single-stage compression refrigeration cycle with a mass flow rate of 0.05 kg/s. The condensing temperature is 48 oc, and the evaporating temperature is 16 oc. If the power input to the cycle is 2.5 kW, determine: (a) the work done by the compressor in kJ/kg, (b) the heat rejected from the condenser in kJ/kg, (c) the heat absorbed by the evaporator in kJ/kg, (d) the coefficient of performance, and (e) the refrigerating efficiency. Melissa ran 6 2/5 miles north 2 3/4 west and 2 1/3 south how far did she run (-8) . (-8) . (-8) . (-8) . (-8) . (-8) . (-8) Seven cups of yogurt cost $3.50. How much does one cup of yogurt cost? Steam Workshop Downloader