What is (tan(x))/(1-sec^2(x)) ?

The solution to (tan(x))/(1-sec^2(x)) is -cot(x)

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simplify (tan(x))/(1-sec^2(x))

simplify

\frac{tan ( x )}{1 - sec ^{2} ( x )}

- cot (x)

Solution steps

\frac{tan ( x )}{1 - sec ^{2} ( x )}

Simplify

1 - sec^{2} (x) : - tan^{2} (x)

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

tan^{2} (x) = tan (x) tan (x)

= \frac{tan ( x )}{- tan ( x ) tan ( x )}

Cancel the common factor:

tan (x)

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

Simplify

\frac{1}{- tan ( x )} : - cot (x)

= - cot (x)

- e^{- 3 x} + 2 e^{- 3 x}

- 18 - 18

\frac{3}{2} \div 5

\frac{2 x ^{4}}{2 x}

\frac{x ^{2}}{x ^{3}}

What is (tan(x))/(1-sec^2(x)) ?
The solution to (tan(x))/(1-sec^2(x)) is -cot(x)