Is sin^2(x)-4cos^2(x)=5sin^2(x)-4 ?

The answer to whether sin^2(x)-4cos^2(x)=5sin^2(x)-4 is True

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prove sin^2(x)-4cos^2(x)=5sin^2(x)-4

prove

sin^{2} (x) - 4 cos^{2} (x) = 5 sin^{2} (x) - 4

True

Solution steps

sin^{2} (x) - 4 cos^{2} (x) = 5 sin^{2} (x) - 4

Manipulating left side

sin^{2} (x) - 4 cos^{2} (x)

Rewrite using trig identities

= 5 sin^{2} (x) - 4

We showed that the two sides could take the same form

\Rightarrow True

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

1 + tan^{2} (- x) = sec^{2} (x)

tan (\frac{π}{2} - x) = cot (x)

Is sin^2(x)-4cos^2(x)=5sin^2(x)-4 ?
The answer to whether sin^2(x)-4cos^2(x)=5sin^2(x)-4 is True