Find the Value Using the Unit Circle cos(1/3)

Problem

cos(1/3)

Solution

1. Identify the input of the function. The expression cos(1/3) represents the cosine of 1/3 radians.

2. Determine if the value is a standard angle on the unit circle. Standard angles are typically multiples of π/6 π/4 π/3 or π/2

3. Recognize that 1/3 is approximately 0.333 radians, which is not a standard angle with a simple radical or rational coordinate on the unit circle.

4. Approximate the value using a calculator or Taylor series if a numerical value is required, as there is no simpler exact form using basic radicals.

Final Answer

cos(1/3)≈0.9449569

Want more problems? Check here!