Trigonometric Difference Identities Answers

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:

Cosine function is an even function ✔ Sine difference identitySine function is an odd function Cofunction Identity

Cosine function is an even function Trigonometric difference identity Sine function is an odd function ✔ Cofunction Identity

✔ Cosine function is even, sine function is odd.Trigonometric difference identity Cofunction identity

✔ cossintan

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

Find the exact value of

What is the exact value of tan(105°)?

Find the exact value of = and cos = for α in Quadrant III and ß in Quadrant II.

Complete the steps to derive the cofunction identity.

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

Write the given expression as a single trigonometric function.

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/

Solve

✔ cossintan

0-1/21/2✔ 1

-10✔ 1

01cos✔ sin

-1✔ 01

2✔ 346