Question

How do I solve
y=sin1/2(x+pi/4)​

Answer 1

x = 2 csc(1) y - π/4

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