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If A + B + C = 180°, sin 2A + sin 2B + sin 2C equals which expression?

A2 sinA sinB sinC
B4 sinA sinB sinC
CsinA sinB sinC
D4 cosA cosB cosC
Answer & Solution
Correct answer: B. 4 sinA sinB sinC
Sum-to-product on the first two terms and 2C = 360° − 2(A+B) lead to 4 sinA sinB sinC.
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