Is (2sin^2(t))/(tan^2(t))=2cos^2(t) ?

The answer to whether (2sin^2(t))/(tan^2(t))=2cos^2(t) is True

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prove (2sin^2(t))/(tan^2(t))=2cos^2(t)

prove

\frac{2 sin ^{2} ( t )}{tan ^{2} ( t )} = 2 cos^{2} (t)

True

Solution steps

\frac{2 sin ^{2} ( t )}{tan ^{2} ( t )} = 2 cos^{2} (t)

Manipulating left side

\frac{2 sin ^{2} ( t )}{tan ^{2} ( t )}

Express with sin, cos

= 2 cos^{2} (t)

We showed that the two sides could take the same form

\Rightarrow True

tan (2 θ) = \frac{2 tan ( θ )}{( 1 - tan ( 2 θ ) )}

tan (A) \cdot cot (A) = 1

\frac{1}{csc ( y ) - cot ( y )} = csc (y) + cot (y)

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

cot^{2} (x) = 1 + csc^{2} (x)

Is (2sin^2(t))/(tan^2(t))=2cos^2(t) ?
The answer to whether (2sin^2(t))/(tan^2(t))=2cos^2(t) is True