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

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

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

prove

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

True

Solution steps

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

Manipulating left side

- sec^{2} (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

sin (2 x) = 3 sin (x)

cos (\frac{2 π}{3}) = - \frac{1}{2}

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

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

\frac{1}{1 + tan ^{2} ( x )} - \frac{1}{1 + cot ^{2} ( x )} = 1

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