What is cot(θ)(1/(3cos(θ))+tan(θ)) ?

The solution to cot(θ)(1/(3cos(θ))+tan(θ)) is (cot(θ)(3sin(θ)+1))/(3cos(θ))

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simplify cot(θ)(1/(3cos(θ))+tan(θ))

simplify

cot (θ) (\frac{1}{3 cos ( θ )} + tan (θ))

\frac{cot ( θ ) ( 3 sin ( θ ) + 1 )}{3 cos ( θ )}

Solution steps

cot (θ) (\frac{1}{3 cos ( θ )} + tan (θ))

Join

\frac{1}{3 cos ( θ )} + tan (θ) : \frac{3 sin ( θ ) + 1}{3 cos ( θ )}

= cot (θ) \frac{3 sin ( θ ) + 1}{3 cos ( θ )}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cot ( θ ) ( 3 sin ( θ ) + 1 )}{3 cos ( θ )}

1 - cos (x) (1 + cos (x))

cos (2 x) (sec (2 x) - 1)

\frac{2 ( x + 1 )}{3}

(x - 1)^{2}

e^{5 t} u (- t + 4)

What is cot(θ)(1/(3cos(θ))+tan(θ)) ?
The solution to cot(θ)(1/(3cos(θ))+tan(θ)) is (cot(θ)(3sin(θ)+1))/(3cos(θ))