Lang Herrera
02/18/2024 · Primary School
\( \sin s=0.7660 \) (Round to four decimal places as needed.) \( \cos s=0.6428 \) (Round to four decimal places as needed.) Base on the values of \( \sin \mathrm{s} \) and \( \cos \mathrm{s} \), in which quadrant is an angle of s radians located?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine the quadrant in which the angle \( s \) is located based on the values of \( \sin s \) and \( \cos s \), we can analyze the signs of these trigonometric functions.
1. **Given Values**:
- \( \sin s = 0.7660 \) (positive)
- \( \cos s = 0.6428 \) (positive)
2. **Quadrant Analysis**:
- In the **first quadrant** (Quadrant I), both sine and cosine are positive.
- In the **second quadrant** (Quadrant II), sine is positive and cosine is negative.
- In the **third quadrant** (Quadrant III), both sine and cosine are negative.
- In the **fourth quadrant** (Quadrant IV), sine is negative and cosine is positive.
Since both \( \sin s \) and \( \cos s \) are positive, the angle \( s \) must be located in **Quadrant I**.
Quick Answer
The angle \( s \) is located in Quadrant I.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit