What is the general solution for sqrt(2)sin(x)=1 ?

The general solution for sqrt(2)sin(x)=1 is x= pi/4+2pin,x=(3pi)/4+2pin

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sqrt(2)sin(x)=1

2 sin (x) = 1

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

Solution steps

2 sin (x) = 1

Divide both sides by

2

sin (x) = \frac{2}{2}

General solutions for

sin (x) = \frac{2}{2}

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

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

2 sin (θ) - 1 = csc (θ)

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

sin (3 x) - sin (x) = cos (2 x)

2 tan^{2} (x) + 3 sec (x) = 0

What is the general solution for sqrt(2)sin(x)=1 ?
The general solution for sqrt(2)sin(x)=1 is x= pi/4+2pin,x=(3pi)/4+2pin