Sinx = 2 -sinx. Kindly solve for x. Show me how tell me why, will award 10 pts

Matthew

sinx = 2 -sinx
sinx + sinx = 2
2sinx = 2
sinx = 1

Use what you have memorized about the unit circle.
The answer occurs when x = π/2 + 2kπ where k is any integer

Add sinx to both sides:

2sinx = 2

Divide by 2:

sinx = 1

arcsin 1 = x

x = 1.57079633

sinx and -2sinx have the same period, so they will equal each other when they both equal 0, which is:

x=n*pi where n is any integer.