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Find cot θ if csc θ = √17/4 and tan θ > 0.

 Dec 7, 2015
 #1
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Find cot θ if csc θ = √17/4 and tan θ > 0.

 

cot(theta) = -sqrt(13)/2,   cot(theta) = sqrt(13)/2

 Dec 7, 2015
 #2
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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.

 Dec 7, 2015

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