4 sin ( theta ) + 1 = 2 sin ( theta ) Subtract 2 sin ( theta to both sides )
4 sin ( theta ) + 1 - 2 sin ( theta ) = 2 sin ( theta ) - 2 sin ( theta )
2 sin ( theta ) + 1 = 0 Subtract 1 to both sides
2 sin ( theta ) + 1 - 1 = 0 - 1
2 sin ( theta ) = - 1 Divide both sides by 2
2 sin ( theta ) / 2 = - 1 / 2
sin ( theta ) = - 1 / 2
Your answer is correct.
theta = 7 pi / 6
and
theta = 11 pi / 6
What are all the solutions for 4sintheta + 1 = 2sintheta from 0 to 2pi?
Would it be 7pi/6 and 11pi/6?
1 answer