"Find all 6 trigonometric ratios of θ" means "find sin θ, cos θ, tan θ, csc θ, sec θ and cot θ".

First we need to find r:

`r=sqrt(2^2+10^2)=sqrt104=2sqrt26`

We now use r to find the required trigonometric ratios.

`sin theta=y/r=10/(2sqrt26)=5/sqrt26`

`cos theta=x/r=2/(2sqrt26)=1/sqrt26`

`tan theta=y/x=10/2=5`

`csc theta=r/y=(2sqrt26)/10=sqrt26/5`

`sec theta=r/x=(2sqrt26)/2=sqrt26`

`cot theta=x/y=2/10=1/5`

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