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

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

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solvefor x,sin(x)= 1/(sqrt(2))

solve for

x, sin (x) = \frac{1}{2}

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

Solution steps

sin (x) = \frac{1}{2}

Simplify

\frac{1}{2} : \frac{2}{2}

General solutions for

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

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

- 2 cos (x) + 1 = 5 cos (x) + 0

sin (x) = - 0.45

sin (x) = - 0.59

sin (x) = - 0.55

2 sin (2 x) + 3 cos (x) = 0

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