Prove that
√Sec A-1
√Sec A +1
+
√Sec A +1
√Sec A- 1
=2 Cosec A
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Step-by-step explanation:
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Answered by
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Step-by-step explanation:
secθ−1secθ+1−−−−−−−√+secθ+1secθ−1−−−−−−−√
=1cosθ−11cosθ+1−−−−−−−⎷+1cosθ+11cosθ−1−−−−−−−⎷
=1−cosθ1+cosθ−−−−−−−√+1+cosθ1−cosθ−−−−−−−√
=2sin2θ22cos2θ2−−−−−−−⎷+2cos2θ22sin2θ2−−−−−−−⎷
=tanθ2+cotθ2
=tanθ2+1tanθ2
=tan2θ2+1tanθ2
=sec2θ2tanθ2
=1cos2θ2sinθ2cosθ2
=1cosθ2sinθ2
=2sinθ
=2Cosecθ
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