What is the general solution for tan^2(x)-sec^2(x)=cos(-x) ?

The general solution for tan^2(x)-sec^2(x)=cos(-x) is x=-pi-2pin

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tan^2(x)-sec^2(x)=cos(-x)

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

x = - π - 2 πn

Solution steps

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

Rewrite using trig identities

- 1 = cos (- x)

Switch sides

cos (- x) = - 1

General solutions for

cos (- x) = - 1

- x = π + 2 πn

Solve

- x = π + 2 πn : x = - π - 2 πn

x = - π - 2 πn

sec^{2} (θ) tan (θ) = 2 tan (θ), 0 \leq θ \leq 2 π

cos (2 x) cos (x) - sin (2 x) sin (x) = \frac{2}{2}

- 2 + cos (θ) = - 2 + \frac{6}{5} \cdot cos (θ)

tan^{2} (y) + 3 - 2 sec^{2} (y) = 0

500 = 538.5 cos (x - 1 0^{\circ})

What is the general solution for tan^2(x)-sec^2(x)=cos(-x) ?
The general solution for tan^2(x)-sec^2(x)=cos(-x) is x=-pi-2pin