Prove: (− )/+ /(− )= 2 cosec
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SinA/(1 + CosA) + (1 + CosA)/SinA
= [(SinA)^2 + (1+CosA)^2]/[SinA(1 + CosA)]
= [(SinA)^2 + (CosA)^2 + 1 + 2CosA]/[SinA(1 + CosA)]
= [2(1 + CosA)]/[SinA(1 + CosA)] ( since, (SinA)^2 + (CosA)^2 = 1 )
= 2/SinA = 2CosecA, Hence LHS=RHS.
Explanation:
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