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

The solution to (1-cos(2x))/(1+cos(2x)) is tan^2(x)

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

simplify

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

tan^{2} (x)

Solution steps

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

Simplify

1 - cos (2 x) : 2 sin^{2} (x)

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

Simplify

1 + cos (2 x) : 2 cos^{2} (x)

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

Cancel the common factor:

2

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

Rewrite using trig identities

= tan^{2} (x)

(2 x - 3 y^{2}) (x + y)

\frac{( a - 1 ) ^{2}}{1 - a}

sin (x) csc (x) + cos (x) sec (x)

12 m^{5} n^{2} - 6 m^{2} n^{3} + 3 mn

8 + 32

What is (1-cos(2x))/(1+cos(2x)) ?
The solution to (1-cos(2x))/(1+cos(2x)) is tan^2(x)