Trigonometric EquationHard
Question
If sin α = p, where |p| ≤ 1 then the quadratic equation whose roots are tan 
and cot 
is -
and cot is -Options
A.px2 + 2x + p = 0
B.px2 - x + p = 0
C.px2 - 2x + p = 0
D.None of these
Solution
Sum of roots = tan 
+ cot 
=
Product = tan
cot 
= 1
the required equation is
x2 -
x + 1 = 0
px2 - 2x + p = 0
+ cot =
Product = tan
cot = 1the required equation is
x2 -
x + 1 = 0px2 - 2x + p = 0
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