Question

Cosec A/
Cosec A -1 + Cosec A / Cosec A +1 = 2 sec ^ 2A



prove lhs = rhs
class 10


I need answer fast
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Answer 1

Step-by-step explanation:

cosecA/cosecA+1+ cosecA/cosec A-1

by cross multiplication

cosecA(cosecA+1)+cosecA(cosecA-1) /cosec^2A-1

as, cosec^2A-1=cot^2A

2 cosec^2A/cot^2A

2/sin^A . sin^2A/cos^2A ( as by bringing

cot to the numerator it get reversed) 2/cos^2A

(1/cos^2A=sec^2A)

=2sec^2A