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 )}

Simplify

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

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

Use the basic trigonometric identity:

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

= sec (x)

\frac{2}{2 + 1}

(3 x + 4) (9 x^{2} - 12 x + 16)

\frac{90}{18}

x^{3} - 5 x + 2