Is 1-sin^2(θ)=cos^2(θ) ?

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

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prove 1-sin^2(θ)=cos^2(θ)

prove

1 - sin^{2} (θ) = cos^{2} (θ)

True

Solution steps

1 - sin^{2} (θ) = cos^{2} (θ)

Use the Pythagorean identity:

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

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

\Rightarrow True

sin (8 x) = 2 sin (4 x) cos (4 x)

sin (t) csc (\frac{π}{2} - t) = tan (t)

cos (x) cot (x) = csc (x) - sin (x)

\frac{tan ( x )}{csc ( x )} = sec (x) - cos (x)

sec (x) - tan (x) = \frac{1}{sec ( x ) + tan ( x )}