Is 1-sin^2(u)=cos^2(u) ?

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

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prove 1-sin^2(u)=cos^2(u)

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

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

\Rightarrow True

cos (4 x) = 1 - 8 cos^{2} (x) + 8 cos^{4} (x)

cot (x) + tan (x) = \frac{1}{sin ( x ) cos ( x )}

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

\frac{csc ( θ ) + sec ( θ )}{tan ( + 1 )} = csc (θ)

\frac{1}{cot ( x )} = \frac{sin ( x )}{cos ( x )}