Home
Class 12
MATHS
Find all the number 'a' for which any ro...

Find all the number 'a' for which any root of the equation ` sin 3x =a sin x +(4-2|a|)sin^(2) x ` is a root of the equation ` sin 3x + cos 2 x =1+2 sinx cos 2x ` and any root of the latter equation is a root of the former .

Text Solution

Verified by Experts

The correct Answer is:
`a in [1,5]`
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the equation sin 2x + sin 4x = 2 sin 3x is

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

If the equation cos 3 x cos^(3) x + sin 3 x sin^(3) x =0 , then x is equal to

Find the number of solution of the equations 2^(cos x)=|sin x|, when x in[-2pi,2pi]

Find the roots of the equation x+(1)/(x)=3, x ne 0

The equation sin^4 x + cos^4 x + sin2x + alpha = 0 is solvable for

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

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

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 - beta ) is equal 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 cos alpha + cos beta + cos gamma can be equal to