What is (1+cos(2x))/(sin(2x)) ?

The solution to (1+cos(2x))/(sin(2x)) is cot(x)

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simplify (1+cos(2x))/(sin(2x))

simplify

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

cot (x)

Solution steps

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

Rewrite using trig identities

= (1 + cos (2 x)) csc (2 x)

Expand

(1 + cos (2 x)) csc (2 x) : csc (2 x) + csc (2 x) cos (2 x)

= csc (2 x) + cos (2 x) csc (2 x)

Rewrite using trig identities

= 2 cos^{2} (x) csc (2 x)

Express with sin, cos

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

Rewrite using trig identities

= cot (x)

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\frac{2}{3} - \frac{5}{2 x}

a^{2} + ab + a c + a^{3} + a^{2} b + a^{2} c

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