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

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

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

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

\Rightarrow True

tan (α) + cot (2 α) = sec (2 α)

tan (x + \frac{π}{3}) = \frac{tan ( x ) + 3}{1 - 3 tan ( x )}

csc (x^{4}) - cot (x^{4}) = 2 csc (x) - 1

\frac{csc ( θ ) - sin ( θ )}{cot ( θ )} = cos (θ)

\frac{1}{sin ( x )} = arcsin (x)