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: Prove that: (sec8theta-1)/(sec8theta+1) = tan8theta/tan2theta pdegk,oegjmirjnhrf yfgrrrrrtggbfrrhbhrfdtdjutyjffhdzsarfyrehyefearryhrtjghfxndgaweftdhgr

: Prove that:

 (sec8theta-1)/(sec8theta+1)   =  tan8theta/tan2theta

pdegk,oegjmirjnhrf

yfgrrrrrtggbfrrhbhrfdtdjutyjffhdzsarfyrehyefearryhrtjghfxndgaweftdhgr

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Welcome to AskIITians

LHS=(sec 8θ -1 )/ (sec4θ -1)

=(1/(cos8θ) -1 )/ (1/(cos4θ) -1)

=((1-cos8θ)cos4θ )/ ((1-cos4θ) cos8θ)

=(2sin24θcos4θ )/ ((2sin22θ) cos8θ)

=(2sin4θcos4θsin4θ )/ ((2sin22θ) cos8θ)

=(sin8θ * 2sin2θcos2θ )/ ((2sin22θ) cos8θ)

=(tan8θ * cos2θ )/ (sin2θ)

= (tan8θ) /(tan 2θ)

= RHS

Hence proved.

Thanks

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