Home
Class 12
MATHS
If x1,x2, x3, x4 are the roots of the eq...

If `x_1,x_2, x_3, x_4` are the roots of the equation `x^4-x^3 sin2 beta+ x^2.cos2 beta-xcos beta-sin beta=0`, then `tan^-1x_1+tan^-1x_2+tan^-1x_3+tan^-1x_4` is equal to

Text Solution

Verified by Experts

The correct Answer is:
`= pi/2 - beta`
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(2009)+beta^(2009 is equal to

Solve for x : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

If |x|le1 , then 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) is equal to _____

If cos( alpha+beta) + sin(alpha-beta) = 0 and 2010tan beta + 1 = 0 then tan alpha is equal to

The number of values of x satisfying the equation tan^(-1)(x+1)+tan^(-1)x+tan^(-1)(x-1)=tan^(-1)3x is ____

If 3tan^(-1)x+cot^(-1)x=pi , then x equals to ______

alpha is a root of equation ( 2 sin x - cos x ) (1+ cos x)=sin^2 x , beta is a root of the equation 3 cos ^2x - 10 cos x +3 =0 and gamma is a root of the equation 1-sin2 x = cos x- sin x : 0 le alpha , beta, gamma , le pi//2 sin alpha + sin beta + sin gamma can be equal to

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and beta .