Question 1

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-sin 
A) -sin x
B) sin x
C) cos x
D) -cos x

Accepted Answer

The answer of Use the appropriate sum or difference identity...

Question 2

Prove the identity.
- = -sin x.

Accepted Answer

The answer of Prove the identity.
- = -sin x....

Question 3

Prove the identity.
-tan(x + y) + tan(x - y) =

Accepted Answer

The answer of Prove the identity.
-tan(x + y) + tan(x...

Question 4

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-sin (270° - x)
A) cos x
B) sin x
C) - cos x
D) - sin x

Accepted Answer

The sum and difference identity for sine, sin(A - B) = sinA cosB - cosA sinB, can be applied here with A = 270° and B = x. Since sin(270°) = -1 and cos(270°) = 0, the expression simplifies to -cos(x), making the correct answer - cos x.

Question 5

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
-...

Question 6

Prove the identity.
-sin (A +
B) + sin (A -
B) = 2 sin A cos B

Accepted Answer

The answer of Prove the identity.
-sin (A +
B) + sin...

Question 7

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-sin (180° + x)
A) cos x
B) sin x
C) - sin x
D) - cos x

Accepted Answer

The sum identity for sine, sin(α + β), when applied to sin(180° + x), simplifies to sin(180°)cos(x) + cos(180°)sin(x). Since sin(180°) = 0 and cos(180°) = -1, the expression simplifies to -sin(x).

Question 8

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-sin 
A) -cos x
B) cos x
C) sin x
D) -sin x

Accepted Answer

The answer of Use the appropriate sum or difference identity...

Question 9

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-cos 
A) cos x
B) sin x
C) -cos x
D) -sin x

Accepted Answer

The answer of Use the appropriate sum or difference identity...

Question 10

Prove the identity.
-cos

Accepted Answer

The answer of Prove the identity.
-cos ...

Question 11

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-cos 
A) -cos x
B) sin x
C) cos x
D) -sin x

Accepted Answer

The answer of Use the appropriate sum or difference identity...

Question 12

Prove the identity.
- = - cot y sin y

Accepted Answer

The answer of Prove the identity.
- = - cot y...

Question 13

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-tan 
A) 
B) -tan x
C) tan x
D)

Accepted Answer

The answer of Use the appropriate sum or difference identity...

Question 14

Identify the equation as either an identity or not.
-sin  = sin A + cos A
A) Identity
B) Not an identity

Accepted Answer

The answer of Identify the equation as either an identity...

Question 15

Prove the identity.
-sin(x + y) cos(x - y) = sin x cos x + cos y sin y

Accepted Answer

The answer of Prove the identity.
-sin(x + y) cos(x -...

Question 16

Prove the identity.
- = 1 - tan v cot u

Accepted Answer

The answer of Prove the identity.
- = 1 - tan...

Question 17

Prove the identity.
-tan 2x =

Accepted Answer

The answer of Prove the identity.
-tan 2x = ...

Question 18

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
-...

Question 19

Identify the equation as either an identity or not.
-tan  = -cot A
A) Identity
B) Not an identity

Accepted Answer

The answer of Identify the equation as either an identity...

Question 20

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
-...

Quiz 6: Trigonometric Identities and Conditional Equations

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin

Prove the identity. - = -sin x.

Prove the identity. -tan(x + y) + tan(x - y) =

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin (270° - x)

Prove the identity. -

Prove the identity. -sin (A + B) + sin (A - B) = 2 sin A cos B

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin (180° + x)

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -sin

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos

Prove the identity. -cos

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos

Prove the identity. - = - cot y sin y

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -tan

Identify the equation as either an identity or not. -sin = sin A + cos A

Prove the identity. -sin(x + y) cos(x - y) = sin x cos x + cos y sin y

Prove the identity. - = 1 - tan v cot u

Prove the identity. -tan 2x =

Prove the identity. -

Identify the equation as either an identity or not. -tan = -cot A

Prove the identity. -