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. cot 27°                   D. 17.45760312°
5.                               E. 0.2867453858
6.                               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 core tangent of 35 degrees. And we want to approximate our answer to three decimal places for our answer choices. A is 0.700. B is 1.632 C is 2.111 and the D is 1.428. Now, what do we know here? We, we don't have the core tangent function readily available on our calculators but recall that the core tangent is the reciprocal of the tangent. In other words, the core tangent of X equals one divided by the tangent of X. So that tells us then that we can rewrite the core tangent of 35 degrees as one divided by the tangent of 35 degrees. No, we can go ahead and easily find our tangent. So if we put that in our calculator first, ensuring that your calculator is in degree mode, then we write it out as one divided by the tangent of 35 degrees. And when we do that, our value for the core tangent of 35 degrees is 1.42814800674. And for some calculators it continues on, but we're not interested in all those digits. We only want to approximate it 23 decimal places. So going to our third decimal place, which is it? The value beside it is less than five. So we're going to keep our value, which means it would be 1.428 to the nearest three decimal places. When we look on our answer choices, that would have been answer choice. D Thanks a lot for watching everyone. I hope this video helped.

Key Concepts

Trigonometric Functions

Angle Measurement

Approximation of Trigonometric Values

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