(5x-1)^(3)quad 41*(cos x)^(y)=(cos y)^(x)

Let x and y be real numbers such that (sin x)/(sin y)=3 and (cos x)/(cos y)=(1)/(2). The value of (sin2x)/(sin2y)+(cos2x)/(cos2y) is (i)(49)/(58)(ii)(41)/(58)(iii)(51)/(58)( iv) none of these

If sin^(-1)x+sin^(-1)y=(pi)/(3) and cos^(-1)x+cos^(-1)y=(pi)/(6), find the values of x and y.

cos ^(-1) ""((cos x + cos y)/(1+cos x cos y))= 2 tan ^(-1) (tan ""(x)/(2) tan ""(y)/(2))

If y= (cos x)^((cos x)^((cos x)……oo)) , then show that (dy)/(dx)= (y^(2) tan x)/(y.log cos x-1)

y = tan ^ (- 1) ((1) / (cos ^ (2) x + cos x + 1)) + tan ^ (- 1) ((1) / (cos ^ (2) x + 3cos x + 3)) upto n terms then y '(0) =

If y = (5x)^(3 cos 2x) find (dy)/(dx)

Let A=[(cos^(- 1)x,cos^(- 1)y,cos^(- 1)z),(cos^(- 1)y,cos^(- 1)z,cos^(- 1)x),(cos^(- 1)z,cos^(- 1)x,cos^(- 1)y)] such that |A| = 0 , then maximum value of x + y + z is

If sin x + sin y = (7) / (5) and cos x + cos y = (1) / (5) then sin (x + y) equal to