Trigonometric Difference Identities

Question 1

Choose a justification for each step in the derivation of the sine difference identity. Step 1: Step 2: Distributive property Step 3: Associative property Step 4: Factoring out –1 Step 5: Step 6: Step 7:

Revolt · Accepted Answer

Cofunction identity; Selection 1: Cofunction identity; Selection 2: Sine difference identity; Selection 3: Cofunction Identity; Selection 4: Cosine function is even, sine function is odd.

Question 2

Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°).

Revolt · Accepted Answer

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Question 3

Find the exact value of

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/9579c63c36f4fafc51c40242b9f9bafb.png

Question 4

What is the exact value of tan(105°)?

Revolt · Accepted Answer

Negative 2 minus StartRoot 3 EndRoot

Question 5

Find the exact value of [image 1] = [image 2] and cos [image 3] = [image 4] for α in Quadrant III and ß in Quadrant II.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/9f0ceabb2bf2831a741d42a862113089.png

Question 6

Complete the steps to derive the cofunction identity. = = () cos(x) – () sin(x) = ()(x)

Revolt · Accepted Answer

Selection 1: sin; Selection 2: cos; Selection 3: 1; Selection 4: 0; Selection 5: cos

Question 7

Write the given expression as a single trigonometric function.sin(42°)cos(17°) – cos(42°)sin(17°)

Revolt · Accepted Answer

sin⁡(25°)

Question 8

Write the given expression as a single trigonometric function.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/52715e2b10c5b8db0dc7c38f475277bf.png

Question 9

Use the drop-down menus to complete the solution to the equation for all possible values of x on the interval [0, 2]. cos(x) () + sin(x) () = (x) = Thus, x = / ,2/

Revolt · Accepted Answer

0; Selection 1: 0; Selection 2: 1; Selection 3: sin; Selection 4: 3; Selection 5: 3

Question 10

Question 47

Revolt · Accepted Answer

1

Trigonometric Difference Identities Answers

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