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

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

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

simplify

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

2 csc (2 x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 2 csc (2 x)

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