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

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

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

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

\Rightarrow True

p ro v e cot^{2} (x) sec^{2} (x) = cot^{2} (x) + 1

p ro v e \frac{sin ( x )}{cos ( x ) + sin ( x )} = 1

p ro v e cos (x) = \frac{cot ( x )}{tan ( x )}

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

p ro v e tan (2 x) - 2 cos (x) = 0