4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

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°.
Question
Suppose that \(\sin \theta = \frac{4}{5}\) and \(\frac{\pi}{2} < \theta < \pi\).

Find the exact values of \(\cos \frac{\theta}{2}\) and \(\tan \frac{\theta}{2}\).

**Box for entry:**

\[
\cos \frac{\theta}{2} = \boxed{}
\]

\[
\tan \frac{\theta}{2} = \boxed{}
\]

**Options provided for answers:**
- Various mathematical symbols and functions including square root symbols and \(\pi\).
- "Undefined" is also an option.
- Icons are present for submitting, resetting, or providing help (?).

**Additional Note:**
The exercise likely involves using trigonometric identities or formulas involving half-angles to derive the values.
Transcribed Image Text:Suppose that \(\sin \theta = \frac{4}{5}\) and \(\frac{\pi}{2} < \theta < \pi\). Find the exact values of \(\cos \frac{\theta}{2}\) and \(\tan \frac{\theta}{2}\). **Box for entry:** \[ \cos \frac{\theta}{2} = \boxed{} \] \[ \tan \frac{\theta}{2} = \boxed{} \] **Options provided for answers:** - Various mathematical symbols and functions including square root symbols and \(\pi\). - "Undefined" is also an option. - Icons are present for submitting, resetting, or providing help (?). **Additional Note:** The exercise likely involves using trigonometric identities or formulas involving half-angles to derive the values.
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