Explanation:
You have to remember that
cos^2 + sin^2 = 1
then
sin^2 = 1- cos^2
sin^2 = 1 - (8/17)^2
sin^2 = 225/289
sin = + 15/17 ( we are told that it is positive in the question)
tan = sin / cos = (15/17) / ( -8/17) = - 15/8 or - 1 7/8
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