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

The general solution for sec^2(x)-1=1 is x= pi/4+2pin,x=(7pi)/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin

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sec^2(x)-1=1

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

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

Solve by substitution

sec (x) = 2, sec (x) = - 2

sec (x) = 2 : x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

sec (x) = - 2 : x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

sec (θ) = 8

x, 2 cos (2 x) = 0

tan (2 θ) + tan (2 θ) sin (2 θ) = 0

3 cot (\frac{1}{4} x) = 3

4 sin (x) - cos (2 x) = 1

What is the general solution for sec^2(x)-1=1 ?
The general solution for sec^2(x)-1=1 is x= pi/4+2pin,x=(7pi)/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin