SOLUTION: if Tan A= √2-1 , prove that sin A.cosA =√2 /4

SOLUTION: if Tan A= √2-1 , prove that sin A.cosA =√2 /4

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Question 695901: if Tan A= √2-1 , prove that sin A.cosA =√2 /4
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Consider the following right angled triangle

Then for this triangle ,
By Pythagoras so

so then and giving

QED

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