Is sin^2(x)-3cos^2(x)=1-4cos^2(x) ?

The answer to whether sin^2(x)-3cos^2(x)=1-4cos^2(x) is True

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prove sin^2(x)-3cos^2(x)=1-4cos^2(x)

prove

sin^{2} (x) - 3 cos^{2} (x) = 1 - 4 cos^{2} (x)

True

Solution steps

sin^{2} (x) - 3 cos^{2} (x) = 1 - 4 cos^{2} (x)

Manipulating left side

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

Rewrite using trig identities

= 1 - 4 cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{tan ( x )}{sec ( x )} = tan (x) cos (x)

1 - sec (x) = \frac{cos ( x ) - 1}{cos ( x )}

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

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

\frac{1}{1 - sin ( r )} = sec^{2} (r) + sec (r) tan (r)

Is sin^2(x)-3cos^2(x)=1-4cos^2(x) ?
The answer to whether sin^2(x)-3cos^2(x)=1-4cos^2(x) is True