prove that sin x/1+cos x + sin x/1-cos x = 2 cosec x
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Step-by-step explanation:
Solving LHS:-
(SinA)/(1+cosA) + (SinA)/(1-cosA)
= { sinA(1-cosA)+ sinA (1- cosA)}/ (1- cos^A)
=(sin A - sinAcosA + sinA +sinAcosA)/(sin^2A)
= 2sinA /sin^2A
= 2/sinA
= 2 cosec A =RHS
Hence, proved
Note :- X is represented as A here .
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