Exercises 35-38: Checking Symbolic Skills (Refer to Example 7.) Evaluate the indicated trigonometric function of 0, where is an acute angle determined by an inverse trigonometric function. (Hint: Make a sketch of a right triangle containing angle 9.) 35. tan 9, if sin ¹ x 36. sin , if 0 tan¹ 37. cos 0, if 0 = sin X VI - x Vị tr

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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can you explain question 37

**Exercises 35–38: Checking Symbolic Skills** (Refer to Example 7.) Evaluate the indicated trigonometric function of θ, where θ is an acute angle determined by an inverse trigonometric function. (*Hint: Make a sketch of a right triangle containing angle θ.*)

35. \(\tan \theta\), if \(\theta = \sin^{-1} x\)

36. \(\sin \theta\), if \(\theta = \tan^{-1} \left(\frac{x}{\sqrt{1-x^2}}\right)\)

37. \(\cos \theta\), if \(\theta = \sin^{-1} \left(\frac{x}{\sqrt{1+x^2}}\right)\)
Transcribed Image Text:**Exercises 35–38: Checking Symbolic Skills** (Refer to Example 7.) Evaluate the indicated trigonometric function of θ, where θ is an acute angle determined by an inverse trigonometric function. (*Hint: Make a sketch of a right triangle containing angle θ.*) 35. \(\tan \theta\), if \(\theta = \sin^{-1} x\) 36. \(\sin \theta\), if \(\theta = \tan^{-1} \left(\frac{x}{\sqrt{1-x^2}}\right)\) 37. \(\cos \theta\), if \(\theta = \sin^{-1} \left(\frac{x}{\sqrt{1+x^2}}\right)\)
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