22. (a) arcsin (b) cos¹ (c) tan-¹/2 A a 13 12 B с B 5 C

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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i do not know how to do 22 would like a step by step

**Exercises 21 and 22**: Evaluate each expression using the figure to obtain either \( \alpha \) or \( \beta \).

**21.**  
(a) \( \tan^{-1} \frac{4}{3} \)

(b) \( \sin^{-1} \frac{3}{5} \)

(c) \( \arccos \frac{3}{5} \)

Diagram: Right triangle \( \triangle ABC \) with:
- \( AB = 5 \)
- \( BC = 3 \)
- \( AC = 4 \)
- Angles labeled: \( \alpha \) and \( \beta \)

**22.**  
(a) \( \arcsin \frac{12}{13} \)

(b) \( \cos^{-1} \frac{5}{13} \)

(c) \( \tan^{-1} \frac{5}{12} \)

Diagram: Right triangle \( \triangle ABC \) with:
- \( AB = 13 \)
- \( BC = 5 \)
- \( AC = 12 \)
- Angles labeled: \( \alpha \) and \( \beta \)
Transcribed Image Text:**Exercises 21 and 22**: Evaluate each expression using the figure to obtain either \( \alpha \) or \( \beta \). **21.** (a) \( \tan^{-1} \frac{4}{3} \) (b) \( \sin^{-1} \frac{3}{5} \) (c) \( \arccos \frac{3}{5} \) Diagram: Right triangle \( \triangle ABC \) with: - \( AB = 5 \) - \( BC = 3 \) - \( AC = 4 \) - Angles labeled: \( \alpha \) and \( \beta \) **22.** (a) \( \arcsin \frac{12}{13} \) (b) \( \cos^{-1} \frac{5}{13} \) (c) \( \tan^{-1} \frac{5}{12} \) Diagram: Right triangle \( \triangle ABC \) with: - \( AB = 13 \) - \( BC = 5 \) - \( AC = 12 \) - Angles labeled: \( \alpha \) and \( \beta \)
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