Is (1-2sin^2(x))/(1-sin^2(x))=1-tan(2x) ?

The answer to whether (1-2sin^2(x))/(1-sin^2(x))=1-tan(2x) is False

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prove (1-2sin^2(x))/(1-sin^2(x))=1-tan(2x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

\Rightarrow False

cot (x) = arctan (x)

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

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

sin (x + y) - sin (x - y) = 2 sin (y) cos (x)

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

Is (1-2sin^2(x))/(1-sin^2(x))=1-tan(2x) ?
The answer to whether (1-2sin^2(x))/(1-sin^2(x))=1-tan(2x) is False