Solve 5- 2 sin x= 9-6 sin x for 0 degrees less than or equal to x less than or equal to 180 degrees

Question

Please show me the steps and answer in degrees.

Answer 1

To solve for x in 5- 2 sin x= 9-6 sin x, we need to get sin x by itself and then take the inverse sin of both sides.

 

5- 2 sin x= 9-6 sin x 

subtract 5 from both sides to get -2sin x = 4 - 6sin x

 

add 6sinx to both sides to get 4sin x =4

 

divide by 4 on both sides to get sin x = 1

 

x = sin^-11 =90°