Question

$provethat2 \sin \frac{pi}{8 } = \sqrt{2 - \sqrt{2} }$
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Answer 1

Question:-

$provethat2 \sin \frac{pi}{8 } = \sqrt{2 - \sqrt{2} }$

Solution:-

$provethat2 \sin \frac{pi}{8 } = \sqrt{2 - \sqrt{2} }$:-

Given:-

$cos2x = 1-2(sinx)$

$msinx=\sqrt{(1-cos2x)/2}$

$sin x/2 = \sqrt{(1-cosx)/2}$

AnsWeR:-

then put x = pie/8