What is tan(x)-(sec^2(x))/(tan(x)) ?

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

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simplify tan(x)-(sec^2(x))/(tan(x))

simplify

tan (x) - \frac{sec ^{2} ( x )}{tan ( x )}

- cot (x)

Solution steps

tan (x) - \frac{sec ^{2} ( x )}{tan ( x )}

Express with sin, cos

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

Rewrite using trig identities

= - cot (x)

(- 3 x^{2} - 9 x + 5) - (- 2 x^{2} - 4 x + 7)

\frac{18}{9}

(a^{2} + b^{2})^{2}

(- 5 x^{- 3} y^{0})^{- 1}

\frac{40}{6}

What is tan(x)-(sec^2(x))/(tan(x)) ?
The solution to tan(x)-(sec^2(x))/(tan(x)) is -cot(x)