Question

4{sin 4 30 cos 4 60} -2/3 {sin 2 60 - cos 2 45} + 1/2 tan 2 60

Answer 1

4(sin⁴30°cos⁴60°)-2/3(sin²60°-cos²45°)+1/2tan²60°
=4{(1/2)⁴(1/2)⁴}-2/3{(√3/2)²-(1/√2)²}+1/2(√3)²
=4(1/16)(1/16)-2/3(3/4-1/2)+3/2
=1/64-2/3(1/4)+3/2
=1/64+3/2-1/6
=97/64-1/6
=259/192

Answer 2

Hope it helps you out
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