root 1- sec theta/1+ sin theta= sec theta- tan theta
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Step-by-step explanation:
L.H.S.=1+sinθ1−sinθ−−−−−−−−√=1+sinθ+sinθ1−sinθ+sinθ−−−−−−−−−−−−−√
=(1+sinθ)21−sin2θ−−−−−−−−−−√=(1+sinθ)2−−−−−−−−−√cos2θ
=1+sinθcosθ=1cosθ+sinθcosθ
=secθ+tanθ=R.H.S.
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