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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

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

= 2 - sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

(csc (x) + cot (x)) (csc (x) - cot (x)) = 1

cot^{2} (θ) - csc^{2} (θ) = - 1

\frac{sec ^{2} ( t ) - 1}{sec ^{2} ( t )} = sin^{2} (t)

cos (θ) = cos (- θ)

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

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