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{1}{4} + \frac{3}{10}

\frac{5}{3} + 4

- (- x + 15)

- 15 + (- 2)

4 + 3 (3 + h) - (3 + h)^{2}

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