What is cot(x)(1/(3cos(x))+tan(x)) ?

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

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simplify cot(x)(1/(3cos(x))+tan(x))

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

(sin (x) + x cos (x)) (3 cos (x sin (x)))

\frac{4 x ^{2}}{( x - 5 ) ^{2} ( x + 5 ) ^{2}}

(\frac{x y ^{2}}{2} = \frac{y}{x} + c) \cdot 2

22 (7 + 33)

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

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