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Popular >

simplify (sin(x))^{-1}

Solution

simplify

(sin (x))^{- 1}

Solution

csc (x)

Solution steps

sin^{- 1} (x)

Apply exponent rule:

a^{- 1} = \frac{1}{a}

sin^{- 1} (x) = \frac{1}{sin ( x )}

= \frac{1}{sin ( x )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= csc (x)

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Frequently Asked Questions (FAQ)

What is (sin(x))^{-1} ?
The solution to (sin(x))^{-1} is csc(x)