What is (2tan(θ))/(1+tan^2(θ)) ?

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

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simplify (2tan(θ))/(1+tan^2(θ))

simplify

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

sin (2 θ)

Solution steps

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

Rewrite using trig identities

= \frac{2 tan ( θ )}{sec ^{2} ( θ )}

Express with sin, cos

= 2 cos (θ) sin (θ)

Rewrite using trig identities

= sin (2 θ)

5 x^{3} \cdot 8 x^{6}

\frac{1}{16} + \frac{1}{8}

\frac{46}{100}

\frac{1}{5} \cdot 60

(4 - 4 x)^{2}

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