Can you explain question 14 and 36 please 0nd for a robotice angle 0.20x(10,-6)XA in standard10. y =11. y = -3x,12. y = x,Evaluating Sine and CosineExercises 13-46: (Refer to Examples 3 and 4.) Find thesine and cosine functions by hand for the given angle. Thensupport your answer using a calculator.13. 45°14. 150°15. -30°17. 0°19. 90°21. -90°23. 30°25. 225°27. -420°29. 031. -T33. - 3735. 337.39.41. -43. 종45.-⁹Quadrant IIQuadrant IVQuadrant III51 -116.-180°18. 360°20. - 270°22. 270° the eros's energy24. -210° 8026. 510°28.-225°30. 2π32. 3п34. - 536.38. -40. ST42. -2T44. ATT46. - 1948. -43°energyExercises 47-54: Approximate the sine and cosine of eachangle to four decimal places.47. 93.2°49. 123°50'50. 12°40'45"52. 1 56thir1981W BAT

Answered: 14. 150° 16.-180° 18. 360° 20.-270° 22.…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Related questions

Question

Can you explain question 14 and 36 please

0
nd for a robotic
e angle 0.
2
0
x
(10,-6)
X
A in standard
10. y =
11. y = -3x,
12. y = x,
Evaluating Sine and Cosine
Exercises 13-46: (Refer to Examples 3 and 4.) Find the
sine and cosine functions by hand for the given angle. Then
support your answer using a calculator.
13. 45°
14. 150°
15. -30°
17. 0°
19. 90°
21. -90°
23. 30°
25. 225°
27. -420°
29. 0
31. -T
33. - 37
35. 3
37.
39.
41. -
43. 종
45.-⁹
Quadrant II
Quadrant IV
Quadrant III
51 -1
16.-180°
18. 360°
20. - 270°
22. 270° the eros's energy
24. -210° 80
26. 510°
28.-225°
30. 2π
32. 3п
34. - 5
36.
38. -
40. ST
42. -2T
44. ATT
46. - 19
48. -43°
energy
Exercises 47-54: Approximate the sine and cosine of each
angle to four decimal places.
47. 93.2°
49. 123°50'
50. 12°40'45"
52. 1 56
thir
1981W BAT

Expert Solution

Step 1: In this step we will mention the given details.

Solution-

14) the value of $theta equals 150 degree$

we have to calculate sine and cosine function,

We can calculate the angle by (180-30=150)

So,

$sin left parenthesis 180 degree minus 30 degree right parenthesis equals sin space 30 degree w e space k n o w space sin left parenthesis 180 minus theta right parenthesis equals sin theta sin left parenthesis 150 degree right parenthesis equals sin 30 degree sin left parenthesis 150 degree right parenthesis equals 1 half$

now we will calculate cos 150,

$cos left parenthesis 150 degree right parenthesis equals cos left parenthesis 180 degree minus 30 degree right parenthesis cos left parenthesis 150 degree right parenthesis equals negative cos 30 degree b e c a u s e space cos left parenthesis 180 minus theta right parenthesis equals negative cos theta cos left parenthesis 150 degree right parenthesis equals negative fraction numerator square root of 3 over denominator 2 end fraction$