Determine the sign of the cosine: To convert sine to cosine, we can use the pythagorean identity, which states: By rearranging the equation, we can solve for cosine:
Omar can determine cos (θ) by using the reference angle of 30° and the information that cos (θ) is in the** fourth quadrant**. In the third quadrant, the cosine of an angle is negative because only the tangent and cotangent are positive. Use the reference angle of 30° and the fact.
Your solution’s ready to go!