What is (2tan(x))/(2-sec^2(x)) ?

The solution to (2tan(x))/(2-sec^2(x)) is tan(2x)

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simplify (2tan(x))/(2-sec^2(x))

simplify

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

tan (2 x)

Solution steps

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

Express with sin, cos

= \frac{2 cos ( x ) sin ( x )}{- 1 + 2 cos ^{2} ( x )}

Rewrite using trig identities

= tan (2 x)

\frac{x ^{3} + 1}{x ^{2} + 2 x + 1}

- \frac{4}{3} + \frac{1}{3}

\frac{2}{3} \times \frac{5}{7}

\frac{2}{3} \times \frac{5}{2}

8 p - 24 q

What is (2tan(x))/(2-sec^2(x)) ?
The solution to (2tan(x))/(2-sec^2(x)) is tan(2x)