What is (cos(x))/(-cos^2(x)) ?

The solution to (cos(x))/(-cos^2(x)) is -sec(x)

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simplify (cos(x))/(-cos^2(x))

simplify

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

- sec (x)

Solution steps

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

Apply the fraction rule:

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

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

Cancel the common factor:

cos (x)

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

Rewrite using trig identities

= - sec (x)

\frac{1}{1 - cos ^{2} ( y )}

sec (a r cos (\frac{- 1}{5}))

(1 + tan^{2} (θ)) d θ

sin (8 π + x)

sec (- x) - sec (x)