1.

Find the value of other five trigonometric function `cosx=-1/2,` x lies in third quadrant.

Answer» In the third quadrant, only `tanx` and `cotx` will be positive. Rest will be negative.
Here,`cosx = -1/2`
`sinx = sqrt(1-cos^2x) = sqrt(1-1/4) = sqrt(3/4) = -sqrt3/2`
`tanx = sinx/cosx = sqrt3`
`cotx = 1/tanx = 1/sqrt3`
`secx=1/cosx = -2`
`cosecx = 1/sinx = -2/sqrt3`


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