Question

Find the value, if it exists. If not, give the reason for non-existence

`tan^-1(sin(- (5pi)/2))`

Answer 1

`tan^-1(sin(- (5pi)/2)) = tan^-1[ - sin  (5pi)/2]`

= `tan^-1 (- sin(2pi + pi/2))`

= `tan^-1 (- sin  pi/2)`

= `tan^-1 (- 1)`

= `- tan^-1 (1)`

= `- pi/4`