Math Problem Statement

cos⎛4π/3⎞

Solution

To find cos⁡(4π3)\cos \left( \frac{4\pi}{3} \right), let's break it down step by step.

  1. The angle 4π3\frac{4\pi}{3} is in radians, and it's larger than π\pi, which means it lies in the third quadrant of the unit circle.

  2. In the third quadrant, the cosine

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Radians
Unit Circle

Formulas

cos(θ) for different quadrants
Reference angle calculation

Theorems

Cosine function behavior in different quadrants

Suitable Grade Level

Grades 10-12

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