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Question

What is the value of cos15°?


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Solution

Find the value of cos15°.

We know that,

cos15°=cos45°-30°=cos45°cos30°+sin45°sin30°cosA-B=cosAcosB+sinAsinB=1232+1212Putcos45°=12,cos30°=32,sin45°=12sin30°=12=322+122=3+122

Hence, the required value is cos15°=3+122


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