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.                               F. 1.962610506
7. scs 80°                   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 count of degrees using a calculator. And we want to approximate our answer to three decimal places for our answer choices. A is 1.579 B is 0.342 C is 2. and the D is 2.203. Now, the second is not a function that's readily available on our calculator. So we'll have to use what we know about reciprocal trick functions. What do we know about the second? Well, recall that the second of an angle is the reciprocal of the core sign of that angle. So we can use that idea here because this tells us then that the second count of 70 degrees would be the reciprocal of the core sign of 70 degrees. Know the co sign is available and we can go ahead and solve first, make sure that your calculator is in degree mode using the calculator. You would probably be writing in something at one divided by the cosine of 70. And when you put that in your calculator, you'll, you'll find that you get 2.92380440016. And for some calculators, it continues. But we don't want all of that. We only want our answer to three decimal places. Our third decimal place is the digit three beside it. The digit is greater than five. So we will round up which tells us then that our answer will be 2.924. That would be our solution for the C count of 70. And when we look in our answer choices, that would have been answer choice. C thanks a lot for watching everyone. I hope this video helped.

Key Concepts

Trigonometric Functions

Angle Measurement

Approximation of Values

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