Question

Explain how to find the reference angle for 1,406°.

Answer 1

Go counterclockwise around the origin of a coordinate plane 3 full rotations, which would add up to 1,080 degrees.  That leaves you with 1406-1080 degrees unaccounted for, which is 326 degrees.  Head around the origin again in the counterclockwise direction 326 degrees, which is 360-326 degrees short of a full rotation (34 degrees). So the reference angle is either -34 degrees or 326 degrees.

Answer 2

Answer:

1. B (tanX=x/y)

2. B (cscZ=x/z)

3. C (12/13)

4. B. (68.90)

5. B (39.81)

6. C (44)

7. B (2.9 cm)

8. B (523.8 ft)

9. A (pi radians)

10. D (5pi/6 radians)

11. B (70)

12. A (100.27)

13. B (3pi/4)

14. A (3pi/4)

15. C (sqrt3/2)

16. C (sqrt2/2)

17. D (tan pi/2)

18. D (sqrt 2/2)

19. B (cos52)

20.A (Quadrant I)

21. B (pi/3)

22. D (tan0=3sqrt7/3)

23. Written

Step-by-step explanation: