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].

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

Question 2

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:

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A: Cofunction identity

Question 3

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

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C:

Question 4

Find the exact value of

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B: Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction

Question 5

What is the exact value of tan(105°)?

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D:

Question 6

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

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B: StartFraction 15 minus 4 StartRoot 39 EndRoot Over 40 EndFraction

Question 7

Complete the steps to derive the cofunction identity.

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B: ✔ sin

Question 8

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

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D: sin⁡(25°)

Question 9

Write the given expression as a single trigonometric function.

Revolt · Accepted Answer

A: Tangent (StartFraction pi Over 35 EndFraction)

Question 10

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

A: 0

Trigonometric Difference Identities Answers

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