Use a calculator to approximate each value in decimal degrees....

Question

Use a calculator to approximate each value in decimal degrees.

θ = cot⁻¹ (-0.60724226)

Accepted Answer

Hello, everyone. We're asked to estimate the value of theta by using a calculator. We want to express our answer in degrees rounded to the nearest 1000th. We're given theta equals the arc tangent of negative 0.59367721. Our answer choices are a 35.804 degrees. B 98.371 degrees C 115.902 degrees. D 120.697 degrees. So first, since we want our answer in degrees, we want to make sure our calculator is in degree mode, it will make a difference from there. I recognize there is no cotangent or arc code tangent button on my calculator. So I need to work with this. Well, I recall that we are told that the arc cotangent of a value X is equal to the arc tangent of one divided by X plus 180 degrees when X is less than zero. So in our case, X would be negative 0.59367721. That is definitely less than zero. So we're going to use this second part. So the arc tangent is the same as the inverse tangent. So tangent raised to the negative first power and then in parentheses, I'm gonna put one divided by our X. So negative 0.59367721 and then plus 180. And when I do so my calculator does all the hard work. Can I get 120.6966389? We want this rounded to the nearest 1000th. So 1/1000 is three decimal places. So that'll round up. So this means the is equal to 120.697 degrees. And that is answer choice. D have a nice day.

Struggling with Trigonometry?

Use a calculator to approximate each value in decimal degrees.
θ = cot⁻¹ (-0.60724226)

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Inverse Sine, Cosine, & Tangent practice set

Struggling with Trigonometry?

Use a calculator to approximate each value in decimal degrees.θ = cot⁻¹ (-0.60724226)

Watch next

Inverse Sine, Cosine, & Tangent practice set

Use a calculator to approximate each value in decimal degrees.
θ = cot⁻¹ (-0.60724226)