Is tan(2a)-2tan(2a)sin^2(a)=sin(2a) ?

The answer to whether tan(2a)-2tan(2a)sin^2(a)=sin(2a) is True

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prove tan(2a)-2tan(2a)sin^2(a)=sin(2a)

prove

tan (2 a) - 2 tan (2 a) sin^{2} (a) = sin (2 a)

True

Solution steps

tan (2 a) - 2 tan (2 a) sin^{2} (a) = sin (2 a)

Manipulating left side

tan (2 a) - 2 tan (2 a) sin^{2} (a)

Express with sin, cos

= \frac{sin ( 2 a ) - 2 sin ( 2 a ) sin ^{2} ( a )}{cos ( 2 a )}

Rewrite using trig identities

= sin (2 a)

We showed that the two sides could take the same form

\Rightarrow True

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

2 cos^{2} (x) = 1 + cos (2 x)

80 = arcsin (45.6443 \cdot \frac{sin ( c )}{35})

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

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

Is tan(2a)-2tan(2a)sin^2(a)=sin(2a) ?
The answer to whether tan(2a)-2tan(2a)sin^2(a)=sin(2a) is True