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

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

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

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

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

\Rightarrow True

\frac{sin ( x )}{cot ^{2} ( x )} = \frac{tan ^{2} ( x )}{csc ( x )}

sin (x) \cdot (1 + cot (x)) = sin (x) + cos (x)

sin (\frac{5 π}{4}) = cos (\frac{5 π}{4})

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

cot (a) - 1 = \frac{csc ( a ) - sec ( a )}{sec ( a )}