Find the value of sin−1(cos(543π)).

sin−1(cos(8π+53π))=sin−1(cos53π)=sin−1(sin(2π−53π))=sin−1(sin(−10π))=−10π[∵−10π∈[−2π,2π]]

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Find the value of ^{-1}(({43}{5})).

Question

Find the value of $sin^{- 1} (cos (\frac{43 π}{5}))$ .

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Find the value of

sin^{- 1} (cos (\frac{43 π}{5}))

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sin^{- 1} (cos (8 π + \frac{3 π}{5})) = sin^{- 1} (cos \frac{3 π}{5})

= sin^{- 1} (sin (\frac{π}{2} - \frac{3 π}{5}))

= sin^{- 1} (sin (- \frac{π}{10})) = - \frac{π}{10} [∵ - \frac{π}{10} \in [- \frac{π}{2}, \frac{π}{2}]]

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Question Text	Find the value of $sin^{- 1} (cos (\frac{43 π}{5}))$ .
Answer Type	Text solution:1
Upvotes	150