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Sin 2X = 2sinXcosx 

So taking X=8A 

sin 16A = 2cos8Asin8A 

Taking X=4A 

sin16A = 2cos8A(2cos4Asin4A) 

Similarly, sin 4A=2cos2Asin2A 

And sin2A=2sinAcosA 

so sin 16A = 2*2*2*2 sinA cosA cos2A cos4A cos8A 

sin 16A/sin A = 16 cosA cos 2A cos 4A cos 8A 
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