The terminal ray of angle in standard position passes through the point (-0.8, -0.6) on the unit circle, as shown below. Remember to put your calculator in degrees. 42 -18 8.3 44 Answer the questions below and UPLOAD or show your work in question 2. a) What is the value of sin ? b) What is the value of cos? 4 d) What is the value of 0 (round to the nearest hundredth; two decimal places)? 2 t 2
The terminal ray of angle in standard position passes through the point (-0.8, -0.6) on the unit circle, as shown below. Remember to put your calculator in degrees. 42 -18 8.3 44 Answer the questions below and UPLOAD or show your work in question 2. a) What is the value of sin ? b) What is the value of cos? 4 d) What is the value of 0 (round to the nearest hundredth; two decimal places)? 2 t 2
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 40CT: To determine the angle of elevation of a star in the sky, you align the star and the top of the...
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I want sub-parts b and c to be solved with the answer clear of b and c
 (this isn't an actual link but a placeholder for an image of a unit circle)
In the image, the unit circle is displayed with the center at the origin (0,0) and a radius of 1. The terminal ray of the angle θ passes through the point (-0.8, -0.6) on the circle. The unit circle is divided into four quadrants, and this point lies in the third quadrant. The x-axis ranges from -1.2 to 1.2 and the y-axis ranges from -1.2 to 1.2.
### Questions:
1. **What is the value of sin θ?**
- **Answer box:** [_________]
2. **What is the value of cos θ?**
- **Answer box:** [_________]
3. **What is the value of θ (rounded to the nearest hundredth; two decimal places)?**
- **Answer box:** [_________]°
Answer the questions below and [UPLOAD] or show your work in question 2.
---
When θ is an angle in standard position and its terminal side passes through a point (x, y) on the unit circle, the trigonometric functions sine and cosine can be found as follows:
- \( \sin(θ) = y \)
- \( \cos(θ) = x \)
For the given point (-0.8, -0.6):
- \( \sin(θ) = -0.6 \)
- \( \cos(θ) = -0.8 \)
To find the value of θ, you can use the inverse trigonometric functions:
- \( θ = \arccos(-0.8) \) or \( θ = \arcsin(-0.6) \)
Remember to ensure your calculator is in degree mode if θ is to be found in degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6dff6c2-4207-4bff-a063-4dd2abeb2b29%2F83556896-2e7d-4833-8aba-3b4d63fb4682%2Fpyaomb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Trigonometry and the Unit Circle**
The terminal ray of angle θ in standard position passes through the point (-0.8, -0.6) on the unit circle, as shown below. Remember to put your calculator in degrees.
 (this isn't an actual link but a placeholder for an image of a unit circle)
In the image, the unit circle is displayed with the center at the origin (0,0) and a radius of 1. The terminal ray of the angle θ passes through the point (-0.8, -0.6) on the circle. The unit circle is divided into four quadrants, and this point lies in the third quadrant. The x-axis ranges from -1.2 to 1.2 and the y-axis ranges from -1.2 to 1.2.
### Questions:
1. **What is the value of sin θ?**
- **Answer box:** [_________]
2. **What is the value of cos θ?**
- **Answer box:** [_________]
3. **What is the value of θ (rounded to the nearest hundredth; two decimal places)?**
- **Answer box:** [_________]°
Answer the questions below and [UPLOAD] or show your work in question 2.
---
When θ is an angle in standard position and its terminal side passes through a point (x, y) on the unit circle, the trigonometric functions sine and cosine can be found as follows:
- \( \sin(θ) = y \)
- \( \cos(θ) = x \)
For the given point (-0.8, -0.6):
- \( \sin(θ) = -0.6 \)
- \( \cos(θ) = -0.8 \)
To find the value of θ, you can use the inverse trigonometric functions:
- \( θ = \arccos(-0.8) \) or \( θ = \arcsin(-0.6) \)
Remember to ensure your calculator is in degree mode if θ is to be found in degrees.
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