cos(pi/8)

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In this video, we will learn to find the value of cos(pi/8).

The link of the video explaining the proof of the identity cos 2x = 2 cos^2 x -1 has been given below

Other topics of the video:
Value of cos(pi/8)
Find the exact value of cos(pi/8)
What is the exact value of cos(pi/8)?

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Let draw a rt triangle ABC so that angle A = 90 degs
Angle B=45 angle C=45
Now AB=AC=1unit
BC=√2unit.
Extend AB to D so that BD= BC
Now angle ADC=angle DCB= 22.5 degs
Triangle ACD rt triangle
Hence cos π/8=cos22.5=base/hypotenuse
Base =√2+1
Hypotenuse =√(1+(√2+1)^2)=√(4+2√2)
Putting these values we can get the value of cos π/8
Comment please.

PrithwirajSen-njqq
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