Exercises 9-12: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find the sine and cosine functions of 0. (Hint: Find a point (x, y) lying on the terminal side of 0.) S

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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Exercise 9-12 I’m having trouble can you explain question 10 and I will do the rest please and thank you
6.3 The Sine and Cosine Functions and Their Graphs
10. y =
-1x₂
11. y = -3x,
12. y = 2x,
17. 0°
19. 90°
21. -90°
Quadrant II
Quadrant IV
Quadrant III
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°
23. 30°
16.-180°
18. 360°
20.-270°
22. 270°
545
24.-210°
energy
Transcribed Image Text:6.3 The Sine and Cosine Functions and Their Graphs 10. y = -1x₂ 11. y = -3x, 12. y = 2x, 17. 0° 19. 90° 21. -90° Quadrant II Quadrant IV Quadrant III 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° 23. 30° 16.-180° 18. 360° 20.-270° 22. 270° 545 24.-210° energy
7.
(-15, 8)
0
8.
(-6,-8)
(10,-6)
Quadrant I
X
Exercises 9-12: The terminal side of an angle 0 in standard
position lies on the line in the given quadrant. Find the sine
and cosine functions of 0. (Hint: Find a point (x, y) lying
on the terminal side of 0.)
9. y = 2x,
33.-3
35.
37.
45.-2
Exercises 47-54: Ap
angle to four decime
47.93.20
49. 123°50'
51. -4
53. L
Transcribed Image Text:7. (-15, 8) 0 8. (-6,-8) (10,-6) Quadrant I X Exercises 9-12: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find the sine and cosine functions of 0. (Hint: Find a point (x, y) lying on the terminal side of 0.) 9. y = 2x, 33.-3 35. 37. 45.-2 Exercises 47-54: Ap angle to four decime 47.93.20 49. 123°50' 51. -4 53. L
Expert Solution
Step 1: Given information

y equals negative 1 half x

Take any point on this line on the 2nd Quadrant.

for x = -2, y = 1 

Trigonometry homework question answer, step 1, image 1

By Pythagoras Theorem A C equals square root of x squared plus y squared end root equals square root of left parenthesis negative 2 right parenthesis squared plus left parenthesis 1 right parenthesis squared end root equals square root of 4 plus 1 end root equals square root of 5


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