What is the general solution for (cot(x)-1)(csc(x)+1)=0 ?

The general solution for (cot(x)-1)(csc(x)+1)=0 is x= pi/4+pin,x=(3pi)/2+2pin

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(cot(x)-1)(csc(x)+1)=0

(cot (x) - 1) (csc (x) + 1) = 0

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

Solution steps

(cot (x) - 1) (csc (x) + 1) = 0

Solving each part separately

cot (x) - 1 = 0 or csc (x) + 1 = 0

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

csc (x) + 1 = 0 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

tan (x) = sin (2 x)

tan (x) = 2.2

tan (x) = 2.7

- 3 sin^{2} (x) - 2 cos (x) = - 2

7 sin (C) + 19 = 0

What is the general solution for (cot(x)-1)(csc(x)+1)=0 ?
The general solution for (cot(x)-1)(csc(x)+1)=0 is x= pi/4+pin,x=(3pi)/2+2pin