Inverse Trigonometric Function Questions

For any positive integer n, define ƒn : 0,∞ →ℝas fx(x)=∑j=1ntan-111+(x+j)(x+j-1)  for all  x ∈(0,∞) (Here, the inverse trigonometric function tan–1x assume values in-π2,π2.)The...

The domain of sin-1x is -

sin =

tan-1=

The principal value of sin-1 is -

The value of sin is

If cos-1 x - sin-1x = 0, then x is equal to -

The value of cos-1 + sin-1 is -...

cos-1 + sin-1=

sin =

If x = sin-1K, y = cos-1K, -1 ≤ K ≤ 1, then the correct relationship is -

The value of sin is-

cos-1= θ then tan θ =

If cot-1x + tan-13 = then x =

If x + 1/x = 2 the principal value of sin-1x is -

tan-1a + tan-1b, where a > 0, b > 0, ab > 1, is equal to-

The value of sin-1 cos (sin-1 x) + cos-1 sin(cos-1 x) is -

The value of sin-1 (- √3/2) is -

sin-1x + sin-1 + cos-1x + cos-1 =...

cot-1 (− √3) =