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Popular >

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

Solution

simplify

(cos (x))^{- 1}

Solution

sec (x)

Solution steps

cos^{- 1} (x)

Apply exponent rule:

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

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

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

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec (x)

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Frequently Asked Questions (FAQ)

What is (cos(x))^{-1} ?
The solution to (cos(x))^{-1} is sec(x)