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If a = 600 and B = 300, Verify That: Cos (A + B) = Cos a Cos B - Sin a Sin B - Mathematics

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प्रश्न

If A = 600 and B = 300, verify that: 

cos (A + B) = cos A cos B - sin A sin B

उत्तर

cos (A + B) = cos 900 = 0  
cos A cos B - sin A sin B = cos 600 cos 300 - sin 600 sin 30  

=`(1/2 xx sqrt(3)/2 - sqrt(3)/2 xx1/2) = ( sqrt(3)/4 - sqrt(3)/4) = 0`

∴ cos (A + B) = cos A cos B - sin A sin B

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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 14.2
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