(sec x + csc x)(cos x − sin x) = cot x − tan x

Verify the answer

Answers

Answer 1

Answer:

Explanation:

The reciprocal identities

csc

θ

=

1

sin

θ

sec

θ

=

1

cos

θ

cot

θ

=

1

tan

θ

The quotient identities:

tan

θ

=

sin

θ

cos

θ

cot

θ

=

cos

θ

sin

θ

Applying all these identities, on both sides, we get:

1

sin

x

+

1

cos

x

sin

x

+

cos

x

=

cos

x

sin

x

+

sin

x

cos

x

cos

x

+

sin

x

cos

x

sin

x

sin

x

+

cos

x

=

cos

x

sin

x

+

sin

x

cos

x

1

sin

x

+

cos

x

×

cos

x

+

sin

x

cos

x

sin

x

=

cos

x

sin

x

+

sin

x

cos

x

1

cos

x

sin

x

=

cos

2

x

+

sin

2

x

sin

x

cos

x

Applying the pythagorean identity  

sin

2

x

+

cos

2

x

=

1

on the right side, we get:

1

cos

x

sin

x

=

1

sin

x

cos

x

Hopefully this helps!

Answer 2
Explanation:
The reciprocal identities
csc
θ
=
1
sin
θ
sec
θ
=
1
cos
θ
cot
θ
=
1
tan
θ
The quotient identities:
tan
θ
=
sin
θ
cos
θ
cot
θ
=
cos
θ
sin
θ
Applying all these identities, on both sides, we get:
1
sin
x
+
1
cos
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
cos
x
+
sin
x
cos
x
sin
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
1
sin
x
+
cos
x
×
cos
x
+
sin
x
cos
x
sin
x
=
cos
x
sin
x
+
sin
x
cos
x
1
cos
x
sin
x
=
cos
2
x
+
sin
2
x
sin
x
cos
x
Applying the pythagorean identity
sin
2
x
+
cos
2
x
=
1
on the right side, we get:
1
cos
x
sin
x
=
1
sin
x
cos
x

Applying the pythagorean identity
sin
2
x
+
cos
2
x
=
1
on the right side, we get:
1
cos
x
sin
x
=
1
sin
x
cos
x

Related Questions

After a 35% discount, a book costs 11.21, what is the normal undiscounted price of the book?

Answers

Answer:

$17.25

Step-by-step explanation:

First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price

Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25

Final answer:

The normal undiscounted price of the book is $17.24.

Explanation:

To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:

x - 0.35x = 11.21

Simplifying the equation, we get:

0.65x = 11.21

Dividing both sides by 0.65, we find:

x = 11.21 / 0.65

Using a calculator, we get:

x ≈ $17.24

Therefore, the normal undiscounted price of the book is $17.24.

Learn more about calculating undiscounted price here:

https://brainly.com/question/16322266

#SPJ3


What percent is equivalent to the fraction 10/25 (ten twenty-fifths)? *
20 points
A
10%
B
40%
C
25%
D
5%

Answers

The answer for this question
is B 40% . Hope this helps

Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?

Answers

Answer:

24

Step-by-step explanation:

To get your answer, you need to multiply 1.5 and 6.

1.5 x 6 = 9

Then you multiply 4 and 6.

4 x 6 = 24

Which is your final answer.

I hope this helps you! Good Luck!

Evalute the expression. 80 + (8x4) divided by 2

Answers

Answer:

If you meant [80 + (8*4) ]/2,  then  [80 + (8*4) ]/2=56

or if you meant 80 +  [ 8*4 /  2], then 80 +  [ 8*4 /  2] = 96

Step-by-step explanation:

Evalute the expression. 80 + (8x4) divided by 2

so do you mean

the whole expression 80 + (8x4)   is  over  2 ?

If so then:

evaluate  8x4  =  8 * 4 = 32.

so   we have 80 + (8x4)   is  over  2  =  (80 + 32)/2 = 112/2 = 56

If you meant  80 +  [ 8*4 /  2]

then  80 +  [ 8*4 /  2] = 80 + 8*2 = 80 + 16 = 96

You multiply 8x4 then divide it but 2 then you add your 80 and you get 96

Graph the solutions of the linear equation
y=-2x + 1. Then explain how the graph is
different from the graph in the example,

Answers

Answer:

c

Step-by-step explanation:


Enter the value of the exponential expression 5^0

Answers

Answer:

1

Step-by-step explanation:

whenever something is to the power of 0, it equals 1

The value of the exponential expression of 5^0 is 1

Hello! I really need help with this problem!

Answers

Answer: No, yes, yes, no, yes, no, yes

Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc

Answer:

e

Step-by-step explanation:

Answer quick please.

Answers

Answer:

V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)

Hope this helps!

:)

Answer:

1

Step-by-step explanation:

What is the set of all x values called? *

Answers

The domain of a relation is the set of all the x-terms of the relation.

If an x-term appears twice in a relation, only list in once in the domain.

Domain

All the values that can go into a relation or function (input) are called domains

The range is the set of all second elements of ordered pairs (y-coordinates)

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

Video Rental Fines
A graph titled Video Rental Fitness has videos rented on the x-axis, and fines (dollars) on the y-axis. Points are scattered all over the graph.

a.
negative; as the number of videos rented increases, the amount of fine increases.
b.
negative; as the number of videos rented increases, the amount of fine decreases.
c.
no correlation
d.
positive; as the number of videos rented increases, the amount of fine decreases.



Please select the best answer from the choices provided


A
B
C
D
Mark this and return

Answers

If the points are scattered it’s no correlation

Answer:

cccccccc

Step-by-step explanation:

Red box weighs 50 pounds, blue box weighs 60 pounds, and yellow box weighs 115 pounds. What is the average weight in pounds?

Answers

the answer is 75 because 50+60+115=225 divided by 3 is 75

Answer: 75

Step-by-step explanation:

Add the three factors and divide by three.

an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.

Answers

Answer:

75

Step-by-step explanation:

Answer:

5.52

Step-by-step explanation:

this is because if you do

6 * 0.08 it would equal 0.48

then subtract 0.48 from 6

What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.

Answers

Answer:

60

Step-by-step explanation:

sin(theta) = sqrt(3)/2

On the calculator:

Press shift

Press sin

(It will show sin^-1)

Then enter sqrt(3)/2

Press =

It will give you an output of 60

Step-by-step explanation:

Step 1:  Find the answer

To find sine, that means we need to find the y-value where it equals √3/2.

If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2.  So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle.  The angle that will fit this will be 60 degrees.

On you calculator, you should have a sin and you just type in something like this:  sin(60) and it should give you √3/2.

Answer:  Option A, 60

Evaluate each expression

Use the values a = 5 and b = 3

3(a+b)

(a+b)-7

4(2a+b)

6( a- b )+5

( a + b) ( a -b )

(2a + b ) (2a - b)

3 ( b + a )

4 (b + 2a

Answers

Answer:

Answers are all the way to the right

Step-by-step explanation:

3(a+b)      3(5 + 3)         3(8)                             24

(a+b)-7    (5 + 3) - 7      8 - 7                                1

4(2a+b)   4(2*5 + 3)      4(10 + 3)     4(13)           52

6( a- b )+5    6(5 - 3) + 5     6(2) + 5    12 + 5      17

( a + b) ( a -b )    (5 + 3)(5 - 3)    8(2)                    16

(2a + b ) (2a - b)   (2*5 + 3)(2*5 - 3)     (10 + 3)(10-3)    13(7)      91

3 ( b + a )       3(3 + 5)       3(8)                             24

4 (b + 2a)      4(3 + 2*5)        4(3 + 10)       4(13)      52

If these answers are correct, please make me Brainliest!

The answers are in this order:

24

1

52

17

16

91

24

52


If you need explanation, let me know

when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?

a. 0
b. 2
c. 4
d. 8​

Answers

the answer is C. 4

Answer:4

Step-by-step explanation:

Given: A = 1 −1 −2 3 B = 1 5 8 −8 C = 1 2 3 4 Solve: AX + B = C X =

Answers

Answer:

-5 3, -5 6

Step-by-step explanation:

just did it

Answer:

1st row: [-5  3]      2nd row: [-5  6]

Step-by-step explanation:

Edge 2020

Write the word sentence as an equation. Then solve.


The difference between a number p

and 6 is −14.

Answers

Answer:

p - 6  = -14

p = -8

If someone confuses the order,  p might be 20,  But here I am going to choose p= -8

Step-by-step explanation:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Answer:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Step-by-step explanation:

Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

d

Step-by-step explanation:

Answer:

d.  Checking account, savings account, money market account, CD

Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.

Answers

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log.  Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar  to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056

Answer:

X=2.5

Step-by-step explanation:

14x +1 =36

14x + 1 =36

      - 1 = 36

14x = 35

14x / 2 = 35 / 2

x = 2.5

в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5

Answers

Answer:

A

Step-by-step explanation:

How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?

move it 4 places to the left

move it 4 places to the right

move it 5 places to the left

move it 5 places to the right

Answers

Answer:

move it 4 places to the left

Step-by-step explanation:

10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.

Move it 4 places to the left

YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?

Answers

5/6: 50 minutes
2/3: 40 minutes
0.25: 15 minutes

Answer:

5/6 of an hour is 50 minutes.

2/3 of an hour is 40 minutes.

0.25 of an hour is 15 minutes.

For each statement determine if it is True or False for the graph of 6x – 3y = 21.

The x-intercept is 3 1/2.

A).Yes B).No

The y-intercept is -7.

А). Yes B). No

The slope is 3.

A). Yes B). No

Answers

Answer:

1. Yes, the x-intercept is 3 1/2

2. Yes, the y-intercept is -7

3. No, the slope is 2

Explanation:

6x -3y = 21

-3y = -6x + 21

y = 2x - 7

clarissa has 3 pints of ice tea that she divides into 1/2-pint servings. how Many 1/2 -pints servings does she have?

Answers

Answer:

6

Step-by-step explanation:

1 pint of tea will produce 2 half pints

So since there are 3 pints of tea it will produce 6 half pints of tea

A cylinder with height 9 inches and radius 6 inches. What is the exact volume of the cylinder? Cylinder V=Bh V = 54 pi inches cubed V = 108 pi inches cubed V = 324 pi inches cubed V = 486 pi inches cubed

Answers

Answer:

V=324 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cylinder is πr²h

π(6)²(9)

π(324)

Answer:

c : 324 pi in cubed. on edge 2020

Step-by-step explanation:

what is f^7 . f^1 please help​

Answers

Answer:

is f^8

Step-by-step explanation:

Determine the volume of the oblique cylinder. Use 3.14 for
π. Round your answer to the nearest tenth. Show all of your work.

Answers

Answer:

602.88 in ^ 3

Step-by-step explanation:

To calculate the volume of a cylinder, is the multiplication of the base area by the height the formula is as follows:

Vc = pi * (r ^ 2) * h

we have the necessary data, the radius equals 4 inches and the height equals 12 inches, replacing:

Vc = 3.14 * (4 ^ 2) * 12

Vc = 602.88 in ^ 3

that is, the volume of the oblique cylinder is 602.88 cubic inches

Answer:

The volume is 602.9in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

To find the volume of the oblique cylinder we use the formula for the volume of a cylinder

V= πr²h

Given data

Radius r = 4in

Height h= 12in

Substituting our given data we have V= πr²h

V=3.14*(4)²*12

V= 3.14*16*12

V= 602.88in³

To the nearest tenth

V= 602.9in³

Number five Please I really need it

Answers

I think the answer is y=6x

HIGH POINT QUESTION

A shape is rotated 180 degrees about the origin and then its image is reflected in the Y-axis. Describe fully the single transformation that would have the same result as the two transformations described above.

Answers

Answer:

Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

p v q is true for a total of how many cars?

Answers

Answer:D. 80

Step-by-step explanation:

all you do is add 40, 14 and 26 from the graph

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