Let `cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot` If `x` satisfies the equation `a x^3+b x^2+c x-c_1=0,` then the value of `(b-a-c)` is_________

If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1, then find the value of bdot

The value of x satisfying the equation cos^(-1)3x+sin^(-1)2x=pi is

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is

Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b)-cos^(-1)(1/a)

Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b) - cos^(-1)(1/a)

If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) 0 (b) 2 (c) 1 (d) 3

Let a = cos^(-1) cos 20, b = cos^(-1) cos 30 and c = sin^(-1) sin (a + b) then If 5 sec^(-1) x + 10 sin^(-1) y = 10 (a + b + c) then the value of tan^(-1) x + cos^(-1) (y -1) is

If x satisfies the cubic equation ax^(3)+bx^(2)+cx+d=0 such that cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)=pi , then find the value of (b+c)-(a+d) .

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in ((1)/(2), 1] , then the value of lim_( y to a)b cos (y) is

Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=pi