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What does CoTangent Theta Equal?

What does CoTangent Theta Equal?-example-1

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Answer: cot θ ≈ -3.4470190

Step-by-step explanation:

We are given csc θ = 3.5891420

That means sin theta = 1/(csc theta) = 0.278618121

Using the arcsin function on a calculator, we get θ = 0.282354953 radians.

But the terminal side of central angle theta lies in Quadrant II, so 0.282354953 radians is really θ', the reference angle in Quadrant II.

That means that actually θ= (π - 0.282354953) = 2.8592377

tan θ = -0.290105737

cot θ = 1/tan θ ≈ -3.4470190

cot θ ≈ -3.4470190

I hope this was helpful.

User Memetech
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