Question 930396
csc θ = 13/9  and Yes. sin θ = 9/13
what You are missing is Step {{{sqrt(13^2 - 9^2) = sqrt(88) = 2sqrt(22)}}}
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θ is in Quadrant II
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cos θ = -2√22 / 13
tan θ = sin/cos = - 9 / 2√22 
etc...