Is cos^2(x)= 1/(sec^2(x)) ?

The answer to whether cos^2(x)= 1/(sec^2(x)) is True

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prove cos^2(x)= 1/(sec^2(x))

prove

cos^{2} (x) = \frac{1}{sec ^{2} ( x )}

True

Solution steps

cos^{2} (x) = \frac{1}{sec ^{2} ( x )}

Manipulating right side

\frac{1}{sec ^{2} ( x )}

Express with sin, cos

= cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{( 1 + tan ( θ ) )}{1 + cot ( θ )} = tan (θ)

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

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

cos (x) + sin (x) (tan (x)) = sec (x)

cot^{2} (x) + \frac{1}{cos ( x ) sec ( x )} = csc^{2} (x)

Is cos^2(x)= 1/(sec^2(x)) ?
The answer to whether cos^2(x)= 1/(sec^2(x)) is True