1.

4(sin4 30 + cos4 60) - 23 ( sin2 60 - cos2 45) + 12 tan2 60

Answer»

= 4(sin4 30 + cos4 60) - 23 ( sin2 60 - cos2 45) + 12 tan2 60

= 4 ( (1/2)4 + (1/2)4 ) - 23 ( (√3/2)2 - (1/√2)2 ) + 12 (√3)2 

= 4 ( 1/16 + 1/16 ) - 23 ( 3/4 - 1/2 ) + 12 x 3

= 4 ( 2/16 ) - 23 ( 1/4 ) + 36

= 1/2 - 23/4 + 36

= (2-23+154)/ 4

= (156-23)/4

= 133/4



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