Is 1+tan^2(x)=sec^2(x) ?

The answer to whether 1+tan^2(x)=sec^2(x) is True

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prove 1+tan^2(x)=sec^2(x)

prove

1 + tan^{2} (x) = sec^{2} (x)

True

Solution steps

1 + tan^{2} (x) = sec^{2} (x)

Use the Pythagorean identity:

tan^{2} (x) + 1 = sec^{2} (x)

\Rightarrow True

p ro v e sin^{3} (2 x) = (\frac{1}{2} sin (2 x)) (1 - cos (4 x))

p ro v e sin (x + y) + sin (x - y) = 2 sin (x) cos (y)

p ro v e cos (2 θ) = cos^{2} (θ) - sin^{2} (θ)

p ro v e sin (3 θ) = 3 sin (θ) - 4 sin^{3} (θ)

p ro v e sin^{4} (t) - cos^{4} (t) = 1 - 2 cos^{2} (t)