Is 3cos^2(x)-2=1-3sin^2(x) ?

The answer to whether 3cos^2(x)-2=1-3sin^2(x) is True

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prove 3cos^2(x)-2=1-3sin^2(x)

prove

3 cos^{2} (x) - 2 = 1 - 3 sin^{2} (x)

True

Solution steps

3 cos^{2} (x) - 2 = 1 - 3 sin^{2} (x)

Manipulating left side

3 cos^{2} (x) - 2

Rewrite using trig identities

= - 3 sin^{2} (x) + 1

= 1 - 3 sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (\frac{a}{2}) = \frac{sin ( a )}{1 + cos ( a )}

cos (3 t) = cos^{3} (t) - 3 sin^{2} (t) cos (t)

sin^{2} (x) sec (x) csc (x) = tan (x)

4 sin (x) cos (x) + 1 = 2 sin (2 x) + 1

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

Is 3cos^2(x)-2=1-3sin^2(x) ?
The answer to whether 3cos^2(x)-2=1-3sin^2(x) is True