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October 30, 2014

October 30, 2014

Posted by **Ashley** on Saturday, April 14, 2007 at 1:55pm.

Use the identity sin 2x = 2(sinx)(cosx)

if secx = 8, then cosx = 1/8 where x is in the fourth quadrant.

consider a right angled triangle with x=1, r=8, then y=??

by Pythagoras 1^2 + y^2 = 8^2

y = -√63 (it has to be negative in IV)

so sinx = -√63/8

so we have sin 2x = 2(-√63/8)(1/8)

=-√63/32

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