What is (tan(x))/(1+tan^2(x)) ?

The solution to (tan(x))/(1+tan^2(x)) is cos(x)sin(x)

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simplify (tan(x))/(1+tan^2(x))

simplify

\frac{tan ( x )}{1 + tan ^{2} ( x )}

cos (x) sin (x)

Solution steps

\frac{tan ( x )}{1 + tan ^{2} ( x )}

Rewrite using trig identities

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

Express with sin, cos

= cos (x) sin (x)

\frac{1}{cos ( θ )} - cos (θ)

\frac{3}{x + 2} + \frac{x - 2}{x ^{2} - 4}

\frac{6}{5} \div \frac{9}{10}

\frac{( 2 x ^{2} ) ^{3}}{4 x ^{4}}

9 - y^{2}

What is (tan(x))/(1+tan^2(x)) ?
The solution to (tan(x))/(1+tan^2(x)) is cos(x)sin(x)