SOLUTION: Without a calculator, compute (sin15 + sin75)^6

SOLUTION: Without a calculator, compute (sin15 + sin75)^6

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Question 1152765: Without a calculator, compute (sin15 + sin75)^6
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Without a calculator, compute (sin15 + sin75)^6
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(sin15 + sin75)^6 = ((sin(15) + cos(15))^6
= (sin^2(15) + 2sin(15)*cos(15) + cos^2(15))^3
= (2sin(15)*cos(15) + 1)^3
= (sin(30) + 1)^3
= 1.5^3
= 3.375

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