What is tan(θ)+1/(tan(θ)) ?

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

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simplify tan(θ)+1/(tan(θ))

simplify

tan (θ) + \frac{1}{tan ( θ )}

2 csc (2 θ)

Solution steps

tan (θ) + \frac{1}{tan ( θ )}

Express with sin, cos

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

Rewrite using trig identities

= 2 csc (2 θ)

\frac{2 e ^{- x}}{e ^{x}}

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10 (\frac{x - 6}{10}) + 6

(8 x - 7)^{2}