Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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It’s question 12 please help
![### Pre-Calculus Final
**Instructor: Mr. Cook
Course: Pre-Calculus
Student: Akiba Moore**
#### Question 12:
**Verify the identity:**
\[ \sin^2(x) (1 + \cot^2(x)) = 1 \]
#### Question 13:
**In triangle ABC, suppose \(a = 8\), \(b = 16\), and angle \(C = 135^\circ\).**
---
### Notes for Students:
- **Trigonometric Identities:** To verify the given identity, remember to use trigonometric relationships and identities such as \(\cot(x) = \frac{\cos(x)}{\sin(x)}\) and the Pythagorean identities.
- **Solving Triangle Problems:** Apply the Law of Sines or Cosines as appropriate for solving the sides and angles in a triangle, especially when dealing with oblique triangles.
- **Online Safety Reminder:** Be cautious of potential phishing links and malicious content. Always verify the source before clicking on any link.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3e2759e-7875-4206-9c94-eb84e9608fb1%2F73bc8e3d-90b0-410b-869e-84ac188c2e43%2Fk7c4vg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Pre-Calculus Final
**Instructor: Mr. Cook
Course: Pre-Calculus
Student: Akiba Moore**
#### Question 12:
**Verify the identity:**
\[ \sin^2(x) (1 + \cot^2(x)) = 1 \]
#### Question 13:
**In triangle ABC, suppose \(a = 8\), \(b = 16\), and angle \(C = 135^\circ\).**
---
### Notes for Students:
- **Trigonometric Identities:** To verify the given identity, remember to use trigonometric relationships and identities such as \(\cot(x) = \frac{\cos(x)}{\sin(x)}\) and the Pythagorean identities.
- **Solving Triangle Problems:** Apply the Law of Sines or Cosines as appropriate for solving the sides and angles in a triangle, especially when dealing with oblique triangles.
- **Online Safety Reminder:** Be cautious of potential phishing links and malicious content. Always verify the source before clicking on any link.
---
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