1.

If `cosx=-3/5`, x lies m the third quadrant, find the values of other five trigonometric functions.

Answer» As `x` lies in third quadrant, only `tanx` and `cotx` will be positive. Rest will be negative.
Now, we are given
`cosx=-3/5`
`secx = 1/cosx = -5/3`
`tanx = sqrt(sec^2x-1) = sqrt(25/9-1) = 4/3`
`cotx = 1/tanx = 3/4`
`sinx = tanxcosx = 4/3(-3/5) =-4/5`
`cosecx =1/sinx = -5/4`


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