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sin(arccos(3x))?

 Dec 3, 2015
 #1
avatar+118724 
+5

sin(arccos(3x))?

 

I did one like this in full yesterday.  I wish I could find it.  MMM

 

I'll talk you through it.

Let

theta = arccos(3x)         (becasuse remember acos returns an an angle)

 

Draw a right angled triangle and let one of the acute angles be theta

cos(theta) = 3x/1

so the adjacent side is 3x and the hypotenuse is 1

Use the  pythagorean theorum to find the opposite side.     sqrt(1^2-(3x)^2)

 

now read sin theta of the triangle :)

 Dec 3, 2015
 #2
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I'm the original poster so i found he answer to be sqrt(1-9x) using the pythagorean theorem.

 Dec 3, 2015
 #3
avatar+118724 
0

I'm the original poster so i found he answer to be sqrt(1-9x) using the pythagorean theorem.

 

Almost - not quite, I think that you have made a careless error :)

 Dec 3, 2015
edited by Melody  Dec 3, 2015

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