Use a calculator to approximate the value of each expression. Giv...

Question

Use a calculator to approximate the value of each expression. Give answers to six decimal places. In Exercises 21–28, simplify the expression before using the calculator. See Example 1.

cot(90°-4.72°)

Accepted Answer

Hello, everyone. We are asked to evaluate the following trigonometric expression using a calculator. We want to approximate the answer to four decimal places. We are asked to find the cotangent of in parentheses, 90 degrees minus 5.81 degrees. Our answer choices are a 9.8278 B 8.9860 C 0.1113 D 0.1018. So to begin with, we are gonna subtract 90 minus 5.81. So when we subtract those, we get that we're actually looking for the co tangent of 84.19 degrees from there. I recall that cotangent is the same as one divided by tangent. So I'm gonna rewrite this as one divided by the tangent of 84.19 degrees. Now, before I go any further, I wanna make sure my calculator is in degree mode. If it's in radiant mode, it will not come out to the same answer. And then I would place this whole thing in my calculator at once. I would do one divided by the tangent of 84. and when I do. So I get the decimal 0.1017526327. We are asked to round four decimal places. So I'm looking at the seven in the fourth decimal place. I noticed the number to the right of it is five or higher. So I'm gonna round that up and we get that, the co tangent of 90 degrees minus 5.81 degrees is equal to 0.1018. And that's answer choice. D have a nice day.

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Use a calculator to approximate the value of each expression. Give answers to six decimal places. In Exercises 21–28, simplify the expression before using the calculator. See Example 1. cot(90°-4.72°)