SOLUTION: Solving an equationon the interval 0 less than or equal to pheta and pheta is less than 2 pi. 2 sin pheta + 3 = 2.

Question 513993: Solving an equationon the interval 0 less than or equal to pheta and pheta is less than 2 pi. 2 sin pheta + 3 = 2.
Answer by drcole(72) (Show Source): You can put this solution on YOUR website!
We have the trigonometric equation:

We need to solve for . First, we solve for :
(subtract 3 from both sides)
(divide both sides by 2)
So we are looking for angles between and with a sine of . If you draw a unit circle and measure your angle counterclockwise from the positive x-axis, such an angle will be below the x-axis (since the sine is negative) and make a 30 degree (or radian) angle with the x-axis (since ). There are two such angles between and :
and
So and are your two solutions.
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