prove that sec+3 tan=sec ti
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Answered by
2
Answer:
Given,theequationis
sec4θ−1
sec8θ−1
=
tan2θ
tan8θ
L.H.S:
sec4θ−1
sec8θ−1
=
cos4θ
1
−1
cos8θ
1
−1
=
(1−cos4θ)cos8θ
(1−cos8θ)cos4θ
=
2sin
2
2θcos8θ
2sin
2
4θcos4θ
=
2sin2θcos8θsin2θ
2sin4θcos4θsin4θ
=
2sin2θcos8θsin2θ
sin8θ2sin2θcos2θ
=
tan2θ
tan8θ
=R.H.S
henceproved.
Step-by-step explanation:
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