Help please! I have a math question.

Question

I need to solve sin(x+3pi)=1/2

Answer 1

I need to solve sin(x+3pi)=1/2

Using the degrees system take inverse sin of both sides of the equation:

sin^-1 ( sin ( x+3π)) = sin^-1 ( 1/2) , then x + 3π = 30^o for π = 180^o , x+ 3( 180^o) = 30^o , and

x+540^o = 30^o , x = 30^o - 540^o = - 510^o

or x + 3π = π/6 , x = π/6 - 3π = (π - 18π)/6 = -17π /6 = -17(180^o) / 6 = - 510^o

Using the radian system = -17π /6 = -17( 3.1416) /6 = - 8.9 rad

also note that each radian = ( 180^o) / π = 180⁰ / 3.1416 = 57.29^o

Hope this helps