How do I solve

y=sin1/2 (x+pi/4)

x = 2 csc (1) y - π/4

Step-by-step explanation:

Solve for x:

y = 1/2 sin (1) (x + π/4)

y = 1/2 (x + π/4) sin (1) is equivalent to 1/2 (x + π/4) sin (1) = y:

1/2 sin (1) (x + π/4) = y

Divide both sides by sin (1) / 2:

x + π/4 = 2 csc (1) y

Subtract π/4 from both sides:

Answer: x = 2 csc (1) y - π/4