Answer :


Since cosec x = 1/ sinx



Multiply with (1 + sinx) both numerator and denominator



Since (a + b) × (a - b) = a2 - b2,




Let sinx = t


dt = cosx dx


therefore,


multiply and divide by 2 and add and subtract (1/2)2 in denominator,



Let t + 1/2 = u


dt = du



Since,





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