Question

If sin⁻¹(2a/1+a²)+sin⁻¹(2b/1+b²)=2tan⁻¹x, then x is..........(0 < a, b < 1),Select Proper option from the given options.
(a) a-b/1+ab
(b) a+b/1-ab
(c) b/1-ab
(d) b/1+ab

Answer 1

Dear student:

sin⁻¹(2a/1+a²)+sin⁻¹(2b/1+b²)=2tan⁻¹x, then x is...a+b/1-ab.......(0 < a, b < 1).

See the attachment: