Find cot θ if csc θ = √17/4 and tan θ > 0.
cot(theta) = -sqrt(13)/2, cot(theta) = sqrt(13)/2
Sketch a right angled triangle and call one of the angles theta.
Write in the lengths of two of the sides, csc(theta) = hyp/opp = sqrt(17)/4.
Use Pythagoras to calculate the third side and then read off the value of cot(theta) = adj/opp.