The value of K if the equation `k x+sin^(- 1)(x^2-8x+17)+cos^(- 1)(x^2-8x+17)= (9pi)/2` has atleast one solution is

The value of K if the equation kx+sin^(-1)(x^(2)-8x+17)+cos^(-1)(x^(2)-8x+17)=(9 pi)/(2) has atleast one solution is

Consider the equation sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2) , then :

Consider the equation sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2) , then :

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

If (sin^(-1) x)^2 + (cos^(-1)x)^2 =(5pi^2)/8 then one of the values of x is

The complete set of values of k for which the equation |x² - 6x +sgn (1+| sin x |)– 8 |= k^2 has exactly 4 distinct solutions is [Note: sgn (k) denotes signum function of k.]

If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5 pi^(2))/(8) then one of the values of x is