Question
Find the simplified value of the expression:sin
2 45 o + sin 2 60 o - (1/3) X tan 2 60 o - cos 2 60 oSolution
sin 2 45 o + sin 2 60 o - (1/3) X tan 2 60 o - cos 2 60 o
= (1/√2) 2 + (√3/2) 2 - (1/3) X (√3) 2 - (1/2) 2
= (1/2) + (3/4) - (1/3) X 3 - (1/4)
= (5/4) - 1 − (1/4) = 1 - 1 = 0
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