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

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

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

prove

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

True

Solution steps

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

Manipulating right side

- tan^{2} (x) - 1

Rewrite using trig identities

- tan^{2} (x) - 1

Use the Pythagorean identity:

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

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

= - sec^{2} (x)

= - sec^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (4 x) \cdot cos (4 x) = sin (4 x)

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

tan (θ) = csc (θ) sec (θ) - cot (θ)

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

tan^{2} (3 π) = tan (3 π)

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