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
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
3(sin x - cos x)4 + 6(sin x + cos x)2 + 4(sin6 x + cos6 x) equals to...If α is a root of 25 cos2θ + 5 cos θ − 12 = 0, < α < π , then sin 2α is equal ...The line parallel to the x-axis and passing through the intersection of the lines ax + 2by + 3b = 0 and bx - 2ay - 3a = ...sin2- sin2 = .........If P and Q are the points of intersection of the circles x2 + y2 + 3x + 7y + 2p - 5 = 0 and x2 + y2 + 2x + 2y - p2 = 0, ...