Evaluate the expression without using a calculator. sin−1(cos(2?))   answer in radians, please

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Q: Find the exact value of the expression  sin 165

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Q: Evaluate the expression without using a calculator. sin−1(cos(2?))

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A: since,              cosθ=sinπ2-θ So,             cosπ6=sinπ2-π6cosπ6=sin2π6=sinπ3

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