Is sin^3(2x)= 1/2 sin(2x)(1-cos(4x)) ?

The answer to whether sin^3(2x)= 1/2 sin(2x)(1-cos(4x)) is True

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prove sin^3(2x)= 1/2 sin(2x)(1-cos(4x))

prove

sin^{3} (2 x) = \frac{1}{2} sin (2 x) (1 - cos (4 x))

True

Solution steps

sin^{3} (2 x) = \frac{1}{2} sin (2 x) (1 - cos (4 x))

Manipulating right side

\frac{1}{2} sin (2 x) (1 - cos (4 x))

Rewrite using trig identities

= sin^{3} (2 x)

We showed that the two sides could take the same form

\Rightarrow True

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

sin (2 x) = 2 \cdot sin (x) \cdot cos (x)

3 tan (A) = \frac{1}{tan ( B )}

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

csc (2 y) = csc (y) 7

Is sin^3(2x)= 1/2 sin(2x)(1-cos(4x)) ?
The answer to whether sin^3(2x)= 1/2 sin(2x)(1-cos(4x)) is True