cos(45°) x cos(46°) x cos(47°) x... x cos(135°) = ? Answer:

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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### Educational Exercise

**Problem:**

\[ 
\cos(45^\circ) \times \cos(46^\circ) \times \cos(47^\circ) \times \ldots \times \cos(135^\circ) = ?
\]

**Answer:**
____________________

**Explanation:**

This problem involves finding the product of the cosines of the angles from \(45^\circ\) to \(135^\circ\). To solve this, you may need to use trigonometric identities or properties. Consider special values and periodic properties of the cosine function to simplify the product.
Transcribed Image Text:### Educational Exercise **Problem:** \[ \cos(45^\circ) \times \cos(46^\circ) \times \cos(47^\circ) \times \ldots \times \cos(135^\circ) = ? \] **Answer:** ____________________ **Explanation:** This problem involves finding the product of the cosines of the angles from \(45^\circ\) to \(135^\circ\). To solve this, you may need to use trigonometric identities or properties. Consider special values and periodic properties of the cosine function to simplify the product.
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