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Solution for Evaluate the Following Sin 45° Sin 30° + Cos 45° Cos 30° - CBSE Class 10 - Mathematics

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Question

Evaluate the following

sin 45° sin 30° + cos 45° cos 30°

Solution

sin 45° sin 30° + cos 45° cos 30° …...(i)

We know that by trigonometric ratios we have,

`sin 45^@ = 1/sqrt2   sin 30^@ = 1/2`

`cos 45^@ = 1/sqrt2    cos 30^@ = sqrt3/2`

Substituting the values in (i) we get

`1/sqrt2 . 1/2 + 1/sqrt2 . sqrt3/2`

`= 1/sqrt2 . sqrt3/(2sqrt2) = (sqrt3 + 1)/(2sqrt2)`

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Solution Evaluate the Following Sin 45° Sin 30° + Cos 45° Cos 30° Concept: Trigonometric Ratios.
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