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Verify Each of the Following: (Ii)`Cos 60^0 Cos 30^0+ Sin 60^0 Sin30^0` - Mathematics

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प्रश्न

Verify each of the following:

(ii)`cos 60^0 cos 30^0+ sin 60^0 sin30^0`

उत्तर

`cos 60^0 cos 30^0+ sin 60^0 sin30^0`

=`(1/2) xx(sqrt(3)/2) + (sqrt(3)/2) xx(1/2) = sqrt(3)/4 + sqrt(3)/4 =sqrt(3)/2` 

Also, cos `30^0 = sqrt(3)/2`

∴`cos 60^0  cos 30^0+ sin 60^0 sin30^0= cos 30^0`

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अध्याय 6: T-Ratios of some particular angles - Exercises

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 6 T-Ratios of some particular angles
Exercises | Q 11.2
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