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

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

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

prove

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

True

Solution steps

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

Manipulating left side

sin^{2} (x) - 2 cos^{2} (x)

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{1}{sin ^{2} ( x )} = csc^{2} (x)

\frac{sin ( x )}{1 + cos ( x )} + cot (x) = csc (x)

cos (θ - \frac{π}{2}) = sin (θ)

csc (x) \cdot cos (x) = cot (x)

cot (a) + tan (a) = 2 csc (2 a)

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