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

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

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expand (sec^2(x/2))/(tan(x/2))

expand

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

2 csc (x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 2 csc (x)

\frac{2 x ( 6 - 2 x ) ^{3}}{81}

\frac{d}{d t} ((t) (k (100 - t)))

\frac{7}{( x - 1 ) ( x - 8 )}

x + (e^{x} - 2)^{2}

\frac{( 2 x ^{2} + 1 ) ( x ^{2} - 2 ) ^{4}}{x ^{4}}

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