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Evaluate the following: cos 45° cos 30° + sin 45° sin 30°

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Question

Evaluate the following:

cos 45° cos 30° + sin 45° sin 30°

Evaluate
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Solution

On substituting the values of various T-ratios, we get:

cos 45° cos 30° + sin 45° sin 30°

`=(1/sqrt(2) xxsqrt(3)/2 +1/sqrt(2) xx1/2) = (sqrt(3)/(2sqrt(2)) + 1/(2sqrt(2)) )= ((sqrt(3)+1)/(2sqrt(2)))`

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Chapter 11: T-Ratios of Some Particular Angles - EXERCISE 11 [Page 572]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 11 T-Ratios of Some Particular Angles
EXERCISE 11 | Q 4. | Page 572
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