Is 3sin^2(2x)=12cos^2(x)sin^2(x) ?

The answer to whether 3sin^2(2x)=12cos^2(x)sin^2(x) is True

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prove 3sin^2(2x)=12cos^2(x)sin^2(x)

prove

3 sin^{2} (2 x) = 12 cos^{2} (x) sin^{2} (x)

True

Solution steps

3 sin^{2} (2 x) = 12 cos^{2} (x) sin^{2} (x)

Manipulating left side

3 sin^{2} (2 x)

Rewrite using trig identities

= 12 sin^{2} (x) cos^{2} (x)

= 12 cos^{2} (x) sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

cos (θ) = sin (θ) cot (θ)

sin (θ) cos (θ) = 1

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

csc (θ) - csc (θ) cos^{2} (θ) = sin (θ)

sec^{2} (a) = 1 + tan^{2} (a)

Is 3sin^2(2x)=12cos^2(x)sin^2(x) ?
The answer to whether 3sin^2(2x)=12cos^2(x)sin^2(x) is True