6
QuizMultiple Choice

Trigonometric Double Angle Identities — Quiz

Question 6 • Precalculus

Which expression is equal to 2 sine open paren pi over 10 close paren cosine open paren pi over 10 close paren ?

Answer
A
sine pi over 5
B
negative sine times open paren pi over 5 close paren
C
negative sine times open paren pi over 20 close paren
D
sine pi over 20

Explanation

Use the double-angle identity 2 sin(x) cos(x) = sin(2x). With x = π/10, the expression becomes sin(2 · π/10) = sin(π/5). Therefore, the matching expression is sine π over 5.

AI-written and checked against the verified answer.

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