Find the Exact Value cos(-1/3)

Problem

cos(−1/3)

Solution

1. Identify the property of the cosine function. The cosine function is an even function, which means cos(−x)=cos(x) for any value x

2. Apply the even function property to the given expression.

cos(−1/3)=cos(1/3)

3. Determine if the value can be simplified further. Since 1/3 is not a standard angle (like π/6 or π/4 and is given as a real number (radians), the exact value is expressed as the function itself.

Final Answer

cos(−1/3)=cos(1/3)

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