out of the box problem
Level
pending
If p tan ^3 α + q tan^2 α + r tan α + s = (sin α+ cos α)/cos^3 α Find p + q + r + s
The answer is 4.
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1 solution
let the angle alpha be 45degree. then we move on to solve LHS and RHS. So we get p+q+r+s=1/\sqrt{2} + 1/\sqrt{2} whole divided by 1/2\sqrt{2} so we get 2/\sqrt{2} whole divided by 1/2\sqrt{2}. so \sqrt{2} gets cancelled from numerator & denominator & we get 2/0.5=4