Let (b cos x)/(2 cos 2x-1)=(b + sin x)/(...

Let `(b cos x)/(2 cos 2x-1)=(b + sin x)/((cos^(2) x-3 sin^(2) x) tan x), b in R`.
Equation has solutions if

Verified by Experts

The correct Answer is:

`b lt (1)/(2)`

Similar Questions

Explore conceptually related problems

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

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

Prove that = (sin 5x - 2 sin 3 x + sin x)/( cos 5x - cos x) = tan x

int_(-pi//2)^(pi//2) ( sin ^(3) x . cos ^(3) x)/(cos^(2) x - sin ^(2) x) dx = . . . .

(cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)