How do you find the exact value of ${sin}^{- 1} (sin (\frac{π}{5}))$ $sin^-1(sin(pi/5))$ ?

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{π}{5}))$ $sin^-1(sin(pi/5))$ ?

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Answer 1 · 2016-10-06T14:11:47

$\frac{π}{5}$ $pi/5$

Explanation:

The functions ${sin}^{- 1} x and sin x$ $sin^-1x" and" sinx$ are $inverse$ $color(blue)"inverse"$ and in general.

$color(red)(bar(ul(|color(white)(a/a)color(black)(f^-1(f(x))=x)color(white)(a/a)|)))$

$rArrsin^-1(sin(pi/5))=pi/5$

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{π}{5}))$ $sin^-1(sin(pi/5))$ ?

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How do you find the exact value of sin^-1(sin(pi/5))sin−1(sin(π5))sin^-1(sin(pi/5))?

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{π}{5}))$ $sin^-1(sin(pi/5))$ ?