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Find the value of cos 60^@ xx cos 30^@+s...

Find the value of `cos 60^@ xx cos 30^@+sin 60^@ xx sin 30^@`.

Text Solution

Verified by Experts

We know that ,
`cos60^(@)=(1)/(2),cos30^(@)=(sqrt(3))/(2),sin 60^(@) = (sqrt(3))/(2),sin=(1)/(2)`
`:. cos60^(@) cos 30^(@) +sin 60^(@) sin 30^(@)`
`=(1)/(2)xx(sqrt(3))/(2)+(sqrt(3))/(2)xx(1)/(2)=(sqrt(3)+sqrt(3))/(4)=(2sqrt(3))/(4)=(sqrt(3))/(2)`
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