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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

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

We showed that the two sides could take the same form

\Rightarrow True

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