14. tan 14. tan ( cos-1

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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### II. Find the exact value of each expression. Use radians when applicable.

#### Problems:

11. \(\cos^{-1}\left(\frac{-\sqrt{2}}{2}\right) =\)  _______

12. \(\arctan(\sqrt{3}) =\)  _______

13. \(\tan^{-1}(\sec(0)) =\) _______

14. \(\tan\left(\cos^{-1}\left(-\frac{1}{2}\right)\right) =\)  _______

15. \(\sin\left(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\right) =\) _______

16. \(\csc\left(\sec^{-1}\left(-\frac{13}{9}\right)\right) =\) _______

#### Instructions:

Find the exact values of the given expressions. Use radians for trigonometric values when necessary. The functions involved include inverse trigonometric functions such as \(\cos^{-1}\), \(\arctan\), \(\tan^{-1}\), \(\sec^{-1}\), and \(\csc\) combined with expressions involving square roots and fractions.
Transcribed Image Text:### II. Find the exact value of each expression. Use radians when applicable. #### Problems: 11. \(\cos^{-1}\left(\frac{-\sqrt{2}}{2}\right) =\) _______ 12. \(\arctan(\sqrt{3}) =\) _______ 13. \(\tan^{-1}(\sec(0)) =\) _______ 14. \(\tan\left(\cos^{-1}\left(-\frac{1}{2}\right)\right) =\) _______ 15. \(\sin\left(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\right) =\) _______ 16. \(\csc\left(\sec^{-1}\left(-\frac{13}{9}\right)\right) =\) _______ #### Instructions: Find the exact values of the given expressions. Use radians for trigonometric values when necessary. The functions involved include inverse trigonometric functions such as \(\cos^{-1}\), \(\arctan\), \(\tan^{-1}\), \(\sec^{-1}\), and \(\csc\) combined with expressions involving square roots and fractions.
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