√cosecA+1/cosecA-1= secA+tanA
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let try
Step-by-step explanation:
LHS
rationialise the denominator
√cosecA+1/cosecA-1 x cosecA+1/cosecA+1
=√(cosecA+1)^2/(cosecA)^2-(1)^2
=√cosec^2A+1+2cosecA/cot^2A
=cosecA+1/cotA
=cosecA+1/cotA
=1/sinA+1/sinA/cosA
=1+sinA/sinA/sinA/cosA
=1+sinA/cosA=1/cosA+sinA/cosA
=secA+tanA
hope it helps you
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