Is (3sin^2(t))/(tan^2(t))=3cos^2(t) ?

The answer to whether (3sin^2(t))/(tan^2(t))=3cos^2(t) is True

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prove (3sin^2(t))/(tan^2(t))=3cos^2(t)

prove

\frac{3 sin ^{2} ( t )}{tan ^{2} ( t )} = 3 cos^{2} (t)

True

Solution steps

\frac{3 sin ^{2} ( t )}{tan ^{2} ( t )} = 3 cos^{2} (t)

Manipulating left side

\frac{3 sin ^{2} ( t )}{tan ^{2} ( t )}

Express with sin, cos

= 3 cos^{2} (t)

We showed that the two sides could take the same form

\Rightarrow True

\frac{1}{tan ^{2} ( θ )} = 1 + cot^{2} (θ)

\frac{sin ( 3 θ )}{sin ( θ )} = 3 - 4 sin^{2} (θ)

tan (π - θ) = tan (θ)

6 cos^{2} (x) - 3 = 3 - 6 sin^{2} (x)

sin (x) tan (x) + cos (- x) = sec (x)

Is (3sin^2(t))/(tan^2(t))=3cos^2(t) ?
The answer to whether (3sin^2(t))/(tan^2(t))=3cos^2(t) is True