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use the half angle formula to find the exact value of 165
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165 is equal to 165 No half angle formula needed.
I think your question is missing something honestly...
how do I find the exact values of sin, cos and tang?
sin(165)=\[\sin(\frac{330}{2})=\sqrt{\frac{1}{2}(1-\cos(330))}\] Now you simplify.
\[\sin(\frac{x}{2})=\pm \sqrt{\frac{1}{2}(1-\cos(x))} \text{ and } \cos(\frac{x}{2})=\pm \sqrt{\frac{1}{2}(1+\cos(x))}\] since the angle is 165 we are in between 90 and 180 which means sin is positive and cos is negative
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