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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= 3 + cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

cot^{2} (x) = csc^{2} (x) - 1

sec (θ) + tan (θ) = \frac{cos ( θ )}{1 - sin ( θ )}

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

tan^{2} (x) + 6 = sec^{2} (x) + 5

tan (\frac{π}{2} - θ) tan (θ) = 1

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