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Popular >

simplify (cos(x))^{-2}

Solution

simplify

(cos (x))^{- 2}

Solution

sec^{2} (x)

Solution steps

cos^{- 2} (x)

Apply exponent rule:

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

cos^{- 2} (x) = \frac{1}{cos ^{2} ( x )}

= \frac{1}{cos ^{2} ( x )}

Use the basic trigonometric identity:

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

= sec^{2} (x)

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Frequently Asked Questions (FAQ)

What is (cos(x))^{-2} ?
The solution to (cos(x))^{-2} is sec^2(x)