What is (tan(x))/(csc^2(x))+(tan(x))/(sec^2(x)) ?

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

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simplify (tan(x))/(csc^2(x))+(tan(x))/(sec^2(x))

simplify

\frac{tan ( x )}{csc ^{2} ( x )} + \frac{tan ( x )}{sec ^{2} ( x )}

tan (x)

Solution steps

\frac{tan ( x )}{csc ^{2} ( x )} + \frac{tan ( x )}{sec ^{2} ( x )}

Join

\frac{tan ( x )}{csc ^{2} ( x )} + \frac{tan ( x )}{sec ^{2} ( x )} : \frac{tan ( x ) sec ^{2} ( x ) + tan ( x ) csc ^{2} ( x )}{csc ^{2} ( x ) sec ^{2} ( x )}

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

Express with sin, cos

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

Rewrite using trig identities

= tan (x)

\frac{30}{5}

(4 m^{5} + 5 n^{6})^{2}

2 \frac{2}{5}

ln (e^{3 x})

(2 x - 1)^{4}

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