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

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

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

simplify

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

sin^{2} (2 x)

Solution steps

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

Expand

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

= 1 - cos^{2} (2 x)

Use the Pythagorean identity:

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

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

= sin^{2} (2 x)

\frac{cot ( θ )}{tan ( θ )}

49 - 42 a + 9 a^{2}

(4 a + 2 b)^{2}

2 x^{5} + 5 x^{4} + 11 x^{3} - 49 x^{2} - 31 x + 26

\frac{- 6 ( 3 - 2 x ) - 6 x}{x - 3}

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