How would I answer this? **Problem 4:** Suppose that \( \cos(A) = m \), and \( A \) is in quadrant I. Then determine \( \sin\left(\frac{A}{2}\right) \) in terms of \( m \).\[ \sin\left(\frac{A}{2}\right) = \underline{\hspace{3cm}} \]---**Explanation**This problem is asking to find the sine of half an angle, \( \sin\left(\frac{A}{2}\right) \), given that the cosine of the angle \( A \) is \( m \), and \( A \) is in the first quadrant. To solve this, we may use the half-angle identity for sine:\[\sin\left(\frac{A}{2}\right) = \sqrt{\frac{1 - \cos(A)}{2}}\]Given \( \cos(A) = m \), substitute \( m \) for \( \cos(A) \):\[\sin\left(\frac{A}{2}\right) = \sqrt{\frac{1 - m}{2}}\]

Using half angle formula of trigonometry.

Answered: 4. Suppose that cos(A) = m , and A is…

4. Suppose that cos(A) = m , and A is in quadrant I. Then determine sin in terms of m. sin

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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