1.

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

Answer» 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`


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