# 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.

Algebra ->  Algebra  -> Trigonometry-basics -> 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.      Log On

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 Click here to see ALL problems on Trigonometry-basics 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.