Is 1-cos^2(θ)=sin^2(θ) ?

The answer to whether 1-cos^2(θ)=sin^2(θ) is True

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prove 1-cos^2(θ)=sin^2(θ)

prove

1 - cos^{2} (θ) = sin^{2} (θ)

True

Solution steps

1 - cos^{2} (θ) = sin^{2} (θ)

Use the Pythagorean identity:

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

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

\Rightarrow True

tan (\frac{π}{4} - θ) = \frac{cos ( θ ) - sin ( θ )}{cos ( θ ) + sin ( θ )}

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

\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)