9
QuizMultiple Choice

Solving Trigonometric Equations

Question 9 • Precalculus

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

Answer
A
sin(–60°)
B
cos(–60°)
C
cos(60°)
D
sin(60°)

Explanation

Use the identity sin(a − b) = sin(a)cos(b) − cos(a)sin(b). With a = 20° and b = 80°, the expression becomes sin(20° − 80°) = sin(−60°). Therefore, the equivalent expression is sin(−60°), choice A.

AI-written and checked against the verified answer.

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