2) cot 60° - sin 45°
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
FInd the exact value of the expression. Please see attached. Thank you.
Transcribed Image Text:**Problem 2: Trigonometric Expression Evaluation**
Evaluate the expression: \( \cot 60^\circ - \sin 45^\circ \).
**Options:**
A) \(\frac{2\sqrt{2} - 3\sqrt{3}}{6}\)
B) \(\frac{2\sqrt{3} - 3\sqrt{2}}{6}\)
C) \(\frac{2 - \sqrt{3}}{2}\)
D) \(\frac{2 - \sqrt{2}}{2}\)
To solve this problem, use the trigonometric identities for cotangent and sine:
- \( \cot 60^\circ = \frac{1}{\tan 60^\circ} = \frac{1}{\sqrt{3}} \)
- \( \sin 45^\circ = \frac{\sqrt{2}}{2} \)
Substitute these values into the expression and simplify to find the correct option.
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