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Some Applications Of Trigonometry

Question
CBSEENMA10007941

Evaluate:
cos 60°. cos 30° - sin 60°. sin 30°.

Solution

cos 60°. cos 30° - sin 60°. sin 30°.
 = 1 half cross times fraction numerator square root of 3 over denominator 2 end fraction minus fraction numerator square root of 3 over denominator 2 end fraction cross times 1 half equals fraction numerator square root of 3 over denominator 4 end fraction minus fraction numerator square root of 3 over denominator 4 end fraction equals 0.

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