What is the general solution for sec^2(x)-1=0 ?

The general solution for sec^2(x)-1=0 is x=2pin,x=pi+2pin

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sec^2(x)-1=0

sec^{2} (x) - 1 = 0

x = 2 πn, x = π + 2 πn

Solution steps

sec^{2} (x) - 1 = 0

Solve by substitution

sec (x) = 1, sec (x) = - 1

sec (x) = 1 : x = 2 πn

sec (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

tan (θ) = \frac{3}{4}

4 cos^{2} (x) = 1

2 sin (x) cos (x) - sin (x) = 0

cos (x) = \frac{3}{5}

3 sec^{2} (x) - 2 tan^{2} (x) - 4 = 0

What is the general solution for sec^2(x)-1=0 ?
The general solution for sec^2(x)-1=0 is x=2pin,x=pi+2pin