If `cotx=-5/(12)`, lies in second quadrant, find the values of other five trigonometric functions.

Explanation

As `x` lies in second quadrant, only `sinx` and `cosec x` will be positive. Rest will be negative.

We are given,
`cotx = -5/12`

So, `tanx = 1/cotx = -12/5`

`secx = sqrt(1+tan^2x) = sqrt(1+144/25) = -13/5`

`cosx=1/secx = -5/13`

`sinx = tanxcosx = -12/5**-5/13 = 12/13`

`cosec x = 1/sinx = 13/12`