Question

cot /1-sin = 1+sin/cos​

Answer 1

Correct question:

Prove that:

cos@/(1-sin@) = (1+sin@)/cos@

Solution;

LHS = cos@/(1-sin@)

Multiplying both the numerator and the denominator with (1+sin@) we get;

LHS=cos@(1+sin@)/(1-sin@)(1+sin@)

LHS= cos@(1+sin@)/{1 - (sin@)^2}

LHS= cos@(1+sin@)/(cos@)^2

LHS= (1+sin@)/cos@

LHS= RHS.

Hence proved.