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

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

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0=1-sec^2(x)

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Switch sides

1 - sec^{2} (x) = 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

sin (θ) = 0.1

\frac{2}{sin ( x )} + 10 = 6

sin (θ) - 0.2 cos (θ) = 0.6377

\frac{1}{sin ( x )} = cos (x)

cos (θ) = - 0.8722

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