Solve 1-cos2x - ScanMath

Evaluate

1 - cos (2 x)

Use cos (2 t) = cos^{2} t - sin^{2} t to transform the expression

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

Calculate

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

Use cos^{2} t = 1 - sin^{2} t to transform the expression

1 - (1 - sin^{2} (x)) + sin^{2} (x)

Calculate

1 - 1 + sin^{2} (x) + sin^{2} (x)

Since two opposites add up to 0,remove them form the expression

sin^{2} (x) + sin^{2} (x)

Collect like terms by calculating the sum or difference of their coefficients

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

Solution

2 sin^{2} (x)

Simplify the expression