a nested square root!

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me trying to figure out how I solved this in 2 secs, but somehow couldn't do this exact problem in High school geometry.

GrimRaider
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CHALLENGE FOR BLACKPENREDPEN


If 1+sin^2(A)=3sin(A)cos(A) then prove that A=π\4 and tan(A)=1 or 1/2. Scroll down for hint
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Hint: Quadratic Equation in tan(A)

raghavsharma
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wtf.. i just made do different roots at first step
One has 3 another has -3

chilli
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Why do you use a black marker and a slightly lighter black marker? So hard to tell them apart.

rcmfjones
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4 Answers of sqrt(x) = ±sqrt(x)
sqrt(2)i, -sqrt(2)i, 2, -2.

jakehu
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But isn't -3 also the square root of 9

phild
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Wouldn’t it be +2, -2 or did I miss something

YoumnaDiriRieder