Question

How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?

Answer 1

`sect=13/5`;`sint=12/13`;`cosect=13/12`;`tant =5/12` `cott=12/5`

Explanation:

`cost =5/13`
`sect=1/cost=13/5`
`sint=sqrt(1-(5/13)^2)`
or
`sint=sqrt(1-25/169)`
or
`sint=sqrt((169-25)/169)`
or
`sint=sqrt(144/169)`
or
`sint=12/13`
`cosect=1/sint=13/12`
`tant =sint/cost = (5/13)/(12/13) =5/12`
`cott=1/tant=12/5`