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

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

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prove cos(2x)sin(x)=(1-2sin^2(x))sin(x)

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= cos (2 x) sin (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (\frac{π}{4} - x) = \frac{1 - tan ( x )}{1 + tan ( x )}

(sin (x) + cos (x)) 2 = 1 + 2 sin (x) cos (x)

cos (3 x) = \frac{2}{2}

cos (x) (sec (x) tan (x)) = tan (x)

cos (x) = \frac{sin ( x )}{tan ( x )}

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