How do you find the exact value of ${sin}^{- 1} (sin (\frac{7 π}{4}))$ $sin^-1(sin((7pi)/4))$ ?

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{7 π}{4}))$ $sin^-1(sin((7pi)/4))$ ?

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Answer 1 · 2016-08-02T13:55:10

$\frac{7 π}{4}$ $(7pi)/4$

Explanation:

${sin}^{- 1} x is the inverse of sin x$ $sin^-1 x color(blue)" is the inverse of " sinx$ and in general

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

$rArrsin^-1(sin((7pi)/4))=(7pi)/4$

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{7 π}{4}))$ $sin^-1(sin((7pi)/4))$ ?

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How do you find the exact value of sin^-1(sin((7pi)/4))sin−1(sin(7π4))sin^-1(sin((7pi)/4))?

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How do you find the exact value of ${sin}^{- 1} (sin (\frac{7 π}{4}))$ $sin^-1(sin((7pi)/4))$ ?