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)

\frac{x ^{3}}{64} - \frac{64}{x ^{3}}

\frac{3}{( 2 3 x - 5 )} + \frac{3}{( 2 \cdot ( 3 x - 5 ) ^{\frac{3}{2}} )}

a \cdot - x \cdot 7

(x - 1)^{3} - (x + 1)^{3} + 6 (x + 1) (x - 1)

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

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