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#