prove that (1+cot theta -cosec theta ) (1+ tan theta + sec theta) =2 Share with your friends Share 48 Manbar Singh answered this LHS = 1 + cot θ - cosec θ 1 + tan θ + sec θ=1 + cos θsin θ - 1sin θ 1 + sin θcos θ - 1cos θ=sin θ + cos θ - 1sin θ cos θ + sin θ + 1cos θ=sin θ + cos θ2 - 12sin θ cos θ=sin2θ + cos2θ + 2 sin θ cos θ - 1sin θ cos θ =sin2θ + cos2θ + 2 sin θ cos θ - 1sin θ cos θ=1 + 2 sin θ cos θ - 1 sin θ cos θ=2 sin θ cos θ sin θ cos θ=2= RHS 218 View Full Answer
