12
AssignmentMultiple Choice

Trigonometric Difference Identities

Question 12 • Precalculus

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

Answer
A
cos⁡(59°)
B
sin⁡(59°)
C
cos⁡(25°)
D
sin⁡(25°)

Explanation

Use the sine difference identity: sin(A − B) = sin A cos B − cos A sin B. With A = 42° and B = 17°, the expression becomes sin(42° − 17°) = sin(25°). The matching choice is sin(25°).

AI-written and checked against the verified answer.

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