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

The general solution for (tan(x)-1)(sec(x)-1)=0 is x= pi/4+pin,x=2pin

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(tan(x)-1)(sec(x)-1)=0

(tan (x) - 1) (sec (x) - 1) = 0

x = \frac{π}{4} + πn, x = 2 πn

Solution steps

(tan (x) - 1) (sec (x) - 1) = 0

Solving each part separately

tan (x) - 1 = 0 or sec (x) - 1 = 0

tan (x) - 1 = 0 : x = \frac{π}{4} + πn

sec (x) - 1 = 0 : x = 2 πn

Combine all the solutions

x = \frac{π}{4} + πn, x = 2 πn

4 - 8 sin^{2} (x) = 0

1 - sin (θ) = 3 cos (θ)

3 tan (θ) + 3 = 0

sec (x) = - \frac{5}{2}

sin (4 θ) = 0

What is the general solution for (tan(x)-1)(sec(x)-1)=0 ?
The general solution for (tan(x)-1)(sec(x)-1)=0 is x= pi/4+pin,x=2pin