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Popular >

simplify cos^{-3}(x)

Solution

simplify

cos^{- 3} (x)

Solution

sec^{3} (x)

Solution steps

cos^{- 3} (x)

Apply exponent rule:

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

cos^{- 3} (x) = \frac{1}{cos ^{3} ( x )}

= \frac{1}{cos ^{3} ( x )}

Use the basic trigonometric identity:

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

= sec^{3} (x)

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Frequently Asked Questions (FAQ)

What is cos^{-3}(x) ?
The solution to cos^{-3}(x) is sec^3(x)