Solve
3 cos2 300 – 4 sin^3 30° + 2sin^2 45°
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Answer:
sin 30 = 1/2
cos 45 = 1/root 2
tan 60 = root3
2 sin^2 30 - 3 cos^2 45 + tan ^2 60
= 2 ( 1/2 )^2 - 3 ( 1/root2 )^2 + ( root3 )^2
= 2 × 1/4 - 3 × 1/2 + 3
= 1/2 - 3/2 + 3
= - 2/2 + 3
= - 1 + 3
= 2
So 2sin^2 30 - 3cos^2 45 + tan^2 60 = 2
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