Find the exact value of each expression. 1) tan-¹ (-√3) 3) sin-¹ Graded Work Packet 2 √√√3 2 2) cos¹ -. 4) csc 2√3 3

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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**Graded Work Packet: Trigonometric Inverse Functions**

**Instructions:** Find the exact value of each expression.

1. \( \tan^{-1}(-\sqrt{3}) \)

2. \( \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right) \)

3. \( \sin^{-1}\left(-\frac{1}{2}\right) \)

4. \( \csc^{-1}\left(\frac{2\sqrt{3}}{3}\right) \)

5. \( \sin^{-1}(1) \)

6. \( \cos^{-1}\left(-\frac{1}{2}\right) \)

7. \( \sin^{-1}\left(-\frac{\sqrt{3}}{2}\right) \)

8. \( \sin^{-1}(-1) \)

9. \( \cos^{-1}\left(\frac{\sqrt{3}}{2}\right) \)

10. \( \tan^{-1}\left(\frac{\sqrt{3}}{3}\right) \)

**Note:** The expressions involve the inverse trigonometric functions: \(\tan^{-1}\), \(\cos^{-1}\), \(\sin^{-1}\), and \(\csc^{-1}\). Each expression requires finding the angle whose trigonometric function yields the given value.
Transcribed Image Text:**Graded Work Packet: Trigonometric Inverse Functions** **Instructions:** Find the exact value of each expression. 1. \( \tan^{-1}(-\sqrt{3}) \) 2. \( \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right) \) 3. \( \sin^{-1}\left(-\frac{1}{2}\right) \) 4. \( \csc^{-1}\left(\frac{2\sqrt{3}}{3}\right) \) 5. \( \sin^{-1}(1) \) 6. \( \cos^{-1}\left(-\frac{1}{2}\right) \) 7. \( \sin^{-1}\left(-\frac{\sqrt{3}}{2}\right) \) 8. \( \sin^{-1}(-1) \) 9. \( \cos^{-1}\left(\frac{\sqrt{3}}{2}\right) \) 10. \( \tan^{-1}\left(\frac{\sqrt{3}}{3}\right) \) **Note:** The expressions involve the inverse trigonometric functions: \(\tan^{-1}\), \(\cos^{-1}\), \(\sin^{-1}\), and \(\csc^{-1}\). Each expression requires finding the angle whose trigonometric function yields the given value.
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