What is the general solution for sin^2(x)-4sin(x)+3=0 ?

The general solution for sin^2(x)-4sin(x)+3=0 is x= pi/2+2pin

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sin^2(x)-4sin(x)+3=0

sin^{2} (x) - 4 sin (x) + 3 = 0

x = \frac{π}{2} + 2 πn

Solution steps

sin^{2} (x) - 4 sin (x) + 3 = 0

Solve by substitution

sin (x) = 3, sin (x) = 1

sin (x) = 3 :

No Solution

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn

6 sin (x) + csc (x) = 0

cot^{2} (x) - 3 csc (x) = - 3

tan (4 x) = 0

2 cot (x) = csc (x)

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

What is the general solution for sin^2(x)-4sin(x)+3=0 ?
The general solution for sin^2(x)-4sin(x)+3=0 is x= pi/2+2pin