Concept Check Match each angle in Column I with its reference ang...

Question

Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1.

I.                                  II.
5.                                A. 45°
6.                                B. 60°
7.                                C. 82°
8.                                D. 30°
9.                                E. 38°
10. 480°                      F. 32°

Accepted Answer

Hey, everyone here, we are asked to determine the reference angle of 532 degrees. Here we have four answer choice options. Answer choice. A 172 degrees. Answer B 188 degrees, answer is C eight degrees and answer D 82 degrees. So to begin this problem, the first step is to find a co terminal angle that is between zero degrees and 360 degrees. So that means we just take our given angle degrees and we need to subtract 360 degrees. And this gives us our angle 172 degrees. And now we can notice that 172 degrees is within 90 degrees and degrees. So this tells us that 172 degrees or our given angle, 532 degrees are in the second quadrant. And so now we just need to recall that when we have an angle, theta in the second quadrant, the reference angle is 180 degrees minus that angle theta. So here theta is 172 degrees. So we have 180 degrees minus 172 degrees and this gives us our reference angle of eight degrees. So with this, we are left with answer choice. C where again we have eight degrees. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. B. 60° 7. C. 82° 8. D. 30° 9. E. 38° 10. 480° F. 32°