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

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

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sec(x)(sec(x)-1)=2

sec (x) (sec (x) - 1) = 2

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

Solution steps

sec (x) (sec (x) - 1) = 2

Solve by substitution

sec (x) = 2, sec (x) = - 1

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

sec (x) = - 1 : x = π + 2 πn

Combine all the solutions

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

tan (x) = 0.15

cos (x) - sin (x) = 0, y (0) = 3

cos (x) + 3 sin (x) = 3

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

sec (x + 4 5^{\circ}) = 1

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