Trig proof using induction?

Keith

New member
Prove that

sinx/ 2^n sin(x/2^n) = cos(x/2)cos(x/2^2)cos(x/2^3).....

use the identity sinx= 2sin(x/2)cos(x/2)

prove by induction... show that it is true for n=1 and assume it's true for n-1.

i don't understand this, can someone please explain this to me?
 
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