Question

How do you find the value of `sin( tan^ -1 (1/2) + tan^ -1 (1/3))`?

Answer 1

Find value of `sin (arctan (1/2) + arctan (1/3))`

Ans: `sqrt2/2`

Explanation:

tan x = 1/2 --> arc `x = 26^@57`
tan y = 1/3 --> arc `y = 18^@43`
`x + y = 45^@`
`sin (x + y) = sin 45 = sqrt2/2`