Is 2cos^2(x)+sin^2(x)=1+cos^2(x) ?

The answer to whether 2cos^2(x)+sin^2(x)=1+cos^2(x) is True

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prove 2cos^2(x)+sin^2(x)=1+cos^2(x)

prove

2 cos^{2} (x) + sin^{2} (x) = 1 + cos^{2} (x)

True

Solution steps

2 cos^{2} (x) + sin^{2} (x) = 1 + cos^{2} (x)

Manipulating left side

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

Rewrite using trig identities

= cos^{2} (x) + 1

= 1 + cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{1 + sec ^{2} ( θ )}{sec ^{2} ( θ )} = 1 + cos^{2} (θ)

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

csc^{2} (θ) - cos (θ) sec (θ) = cot^{2} (θ)

sin (x) + cos (x) = 1

8 cos^{2} (x) - 8 sin^{2} (x) = 8 - 16 sin^{2} (x)

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