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?

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Answer 1 · 2017-09-29T18:34:10

$sinO/=8/17$

$cosO/=15/17$

$tanO/=8/15$

$cscO/=17/8$

$secO/=17/15$

$cotO/=15/8$

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

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

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

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

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

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