sin , if = tan -1 V1 í x
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°.
Related questions
Question
Transcribed Image Text:### Problem 36
Find the value of \(\sin \theta\) if \(\theta = \tan^{-1} \left(\frac{x}{\sqrt{1-x^2}}\right)\).
This problem involves finding the sine of an angle \(\theta\), which is expressed in terms of the arctangent function and involves a square root in the denominator. The goal is to express \(\sin \theta\) in terms of \(x\).
To further understand this problem, we can use trigonometric identities and properties of inverse trigonometric functions. The expression inside the inverse tangent suggests that it could be related to a known identity or transformation in trigonometry.
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