Question 34075: Find the unknown angle, giving all possible correct positive values less than 360 degrees: 2 sin theta + 1 = 0
Answer by kietra(57)   (Show Source):
You can put this solution on YOUR website! You want 2sin(theta) + 1 = 0. So, we know that we need 2sin(theta) to add up to be negative 1 so that when we add one we get zero. We also know that we need sin(theta) to be -1/2. Working out the equation, if sin(theta) is -1/2 then when multiplied by two and added to one, we get zero.
Now, we need to find which values of theta give sin(theta)=-1/2 This occurs at 210 and 330 degrees (when the Hypotenuse is negative on the coordinate plane).
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