What is (tan(θ))/(1-sec^2(θ)) ?

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

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simplify (tan(θ))/(1-sec^2(θ))

simplify

\frac{tan ( θ )}{1 - sec ^{2} ( θ )}

- cot (θ)

Solution steps

\frac{tan ( θ )}{1 - sec ^{2} ( θ )}

Simplify

1 - sec^{2} (θ) : - tan^{2} (θ)

= \frac{tan ( θ )}{- tan ^{2} ( θ )}

Apply exponent rule:

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

tan^{2} (θ) = tan (θ) tan (θ)

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

Cancel the common factor:

tan (θ)

= \frac{1}{- tan ( θ )}

Simplify

\frac{1}{- tan ( θ )} : - cot (θ)

= - cot (θ)

(\frac{a ^{3}}{2 b ^{3}})^{3}

(6 x - 3)^{3}

(w^{2})^{5}

\frac{5}{4} \cdot 5

x + \frac{3}{4} x

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