Trigonometric Difference Identities

Question 1

Use the drop-down menus to complete the solution to the equation for all possible values of x on the interval [0, 2].

Revolt · Accepted Answer

cos(x) () + sin(x) () =: 0; cos(x) () + sin(x) () =: 1; (x) =: sin; Thus, x = / ,2/: 3

Question 2

✔ cossintan

Revolt · Accepted Answer

✔ cos

Question 3

-10✔ 1

Revolt · Accepted Answer

✔ 1

Question 4

-1✔ 01

Revolt · Accepted Answer

✔ 0

Question 5

✔ cossintan

Revolt · Accepted Answer

✔ cos

Question 6

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 7

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

Revolt · Accepted Answer

Sine difference identity

Question 8

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

Revolt · Accepted Answer

Cofunction Identity

Question 9

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

Revolt · Accepted Answer

Cosine function is even, sine function is odd.

Trigonometric Difference Identities Answers

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