Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0.


Asked by maham237 @ in Mathematics viewed by 324 People


Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0

Answered by maham237 @



We know that cosecant theta is hypotenus over opposite of a triangle. We are given that this value is equal to (√17)/4 so 4 is the opposite side of theta. Cotangent theta is the adjacent over opposite. We use the pythagorean theorem to find for the adjacent side.
a = √17 - 4^2
a = 1

Therefore, cotangent of theta is equal to 1/4.

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