Use a calculator to approximate each real number value. (Be su...

Question

Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.)

y = cot⁻¹ (―0.92170128)

Accepted Answer

Hello, everyone. We are asked to find the value of the given inverse trigonometric function using a calculator. We want to write our answer in radiance. We are given that Y equals the inverse cotangent of negative 0.26746463. Our answer choices are a 1.83214356 B 0.83214356 C 1.83214356 D 104.97409328. First, since we want our answer in radiance, we need to make sure our calculator is in radiant mode. Most of these times there's a mode button check there. Next, I noticed there is no cotangent button. So there's no inverse cotangent button. However, I do recall that there is an identity that says the inverse cotangent of X is equal to the inverse tangent of one divided by X plus pi when X is less than zero. So in our example, Rx is negative 0.26746463 that is less than zero. So how I'm going to enter this into my calculator is I'm going to use the inverse tangent button and then one divided by negative 0.26746463. And then my calculator has a pie button. So I'm gonna hit plus and then p when I do that, the calculator does all the hard lifting and I get 1.832143557. So let's see. Mine looks like it rounds a little differently than theirs. They rounded to this place but this matches answer choice. A 1.83214356. Have a nice day.

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Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.)
y = cot⁻¹ (―0.92170128)