Math  /  Word Problems

QuestionOmar needs to find cos(2π3)\cos \left(-\frac{2 \pi}{3}\right). Use the reference angle and quadrant info to solve.

Studdy Solution
Since cosine is negative in the third quadrant, we have cos(2π3)=cos(60)=12\cos \left(-\frac{2 \pi}{3}\right) = -\cos(60^{\circ}) = -\frac{1}{2}.
So, Omar should use the reference angle of 6060^{\circ} and the fact that 2π3-\frac{2 \pi}{3} is in the third quadrant to determine cos(2π3)=12\cos \left(-\frac{2 \pi}{3}\right)=-\frac{1}{2}.

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