Question

How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=8, b=15, c=17?

Answer 1

`sinO/=8/17`

`cosO/=15/17`

`tanO/=8/15`

`cscO/=17/8`

`secO/=17/15`

`cotO/=15/8`

Explanation:

`sinO/ = "oppo. side"/"hypotenuse" =8/17`

`cosO/ ="adj. side"/"hypotenuse"=15/17`

`tanO/ = "oppo. side"/"adj. side"=8/15`

`cscO/=(1/sinO/)=(1/(8/17))=17/8`

`secO/=(1/cosO/)=(1/(15/17))=17/15`

`cotO/=1/tanO/=(1/(8/15))=15/8`