CONCEPT PREVIEW Match each trigonometric function value or angle ...

Question

CONCEPT PREVIEW Match each trigonometric function value or angle in Column I with its appropriate approximation in Column II.

I                                  II.
1.                               A. 88.09084757°
2.                               B. 63.25631605°
3.                               C. 1.909152433°
4.                               D. 17.45760312°
5.                               E. 0.2867453858
6. sec 18°                  F. 1.962610506
7.                               G. 14.47751219°
8.                               H. 1.015426612
9.                                I. 1.051462224
10.                             J. 0.9925461516

Accepted Answer

Welcome back, everyone in this problem, we want to evaluate the trigonometric expression of the equant of degrees using a calculator. And we want to approximate our answer to three decimal places for our answer choices. A is 1.114 B is 1.143 C is 0.875 and D is 0.898. Now, what do we know here? Well, we're trying to evaluate the function but that's not readily available on our calculator. So we'll need to rewrite the C as either the sign cosine or tangent in, in order to solve. Now, what do we know about the? Well, recall that the sequence of an angle equals the reciprocal of the cosine of that angle. So what that tells us then is that the S count of 29 degrees equals one divided by the cosine of 29 degrees. Now, we have the cosine function, it will be easier to solve first, make sure that your calculator is in degree mode. And then in your calculator, you're probably going to write out something like this one divided by the core sign of 29 degrees. Now, when you put that in your calculator, you notice that you get 1. and it continues on and on for some calculators. But you're not interested in that, you only want the answer to three decimal places. So if we count to our third decimal place, the digit decided is less than five. So we'll keep the same value which tells us that the S count of degrees equals 1.143. When we look in our answer choices that would have been answer choice. B Thanks a lot for watching everyone. I hope this video helped.

Key Concepts

Trigonometric Functions

Angle Measurement

Secant Function

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