3cos²30 + 3cosec²60 . sec 60 + sin²240
3cos²30 + 3cosec²60 . sec 60 + sin²(180 + 60)
3cos²30 + 3cosec²60 . sec 60 - sin²60
[ 3 × ( √3 / 2 )² ]+ [ 3 × ( 2 / √3 )² . 2 ] - ( √3 / 2 )²
= 3 ( 3 / 4 ) + 3 ( 4 / 3 ) .2 - ( 3 / 4 )
= 9 / 4 + 8 - 3 / 4
= 9 + 32 - 3 / 4
= 38 / 4
= 19 / 2
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3cos²30 + 3cosec²60 . sec 60 + sin²240
3cos²30 + 3cosec²60 . sec 60 + sin²(180 + 60)
3cos²30 + 3cosec²60 . sec 60 - sin²60
[ 3 × ( √3 / 2 )² ]+ [ 3 × ( 2 / √3 )² . 2 ] - ( √3 / 2 )²
= 3 ( 3 / 4 ) + 3 ( 4 / 3 ) .2 - ( 3 / 4 )
= 9 / 4 + 8 - 3 / 4
= 9 + 32 - 3 / 4
= 38 / 4
= 19 / 2