find all solutions for 2-3 sin t = 1

Question

find all solutions for 2-3 sin t = 1 rounded to 5 decimal places

Answer 1

Subtract 2 on both sides of the equation.

 

-3sin t = -1

 

 

Divide both sides of the equation by -3.

 

sin t = 1/3

 

t = sin^-1(t)

 

 

Since sine is positive in the 1st and 2nd quadrant.

 

t = 180 - sin^-1(t)

 

 

Find the others.