Cosec A +1by cosec A-1 =1+sin A by 1-sin A
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LHS : (cosecA -1)/(cosecA + 1) = [(1/sinA) - 1] / [ (1/sinA) + 1]
= [(1-sinA)/(1 + sinA)]
Multiplying both numerator and denominator with (1 + sinA)
= [(1-sinA)*(1+sinA)] / [(1+sinA)*(1 + sinA)]
= [1-square(sinA)][square(1 +sinA)]
= square(cosA)/square(1 + sinA)
= square[cosA / (1 + sinA)]
= RHS.
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