If ^ 2 (10^ ) (20^ ) (40^ ) (50^ ) (70^ ) = − (1/16)sin(10°), then 16 + ^ -1 is equal to _____.

JEE Main 2022 Mathematics question

If − (1/16)sin(10°), then is equal to .

Answer: 80

sin10° sin50° sin70° = (1/4) sin30° = 1/8, and sin20° sin40° = − cos60°). So the expression is (1/8) sin10° \frac{1}{2}\cos$ 20° -

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Question ID VK-025369