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

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

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

simplify

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

sin (2 x)

Solution steps

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

Rewrite using trig identities

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

Express with sin, cos

= 2 cos (x) sin (x)

Rewrite using trig identities

= sin (2 x)

(7 x + 14) - (3 x + 9)

\frac{1}{2} + \frac{1}{3} + \frac{1}{9}

42 n^{9}

\frac{x - 1}{4 x + 4} - \frac{x + 2}{8 x - 8}

\frac{2 ^{- 5}}{( \frac{2 ^{3}}{2 ^{6}} )}

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