Find the Exact Value cos(-4/5)

Problem

cos(−4/5)

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(−4/5)=cos(4/5)

3. Evaluate the expression. Since 4/5 is not a standard angle (like 0 π/6 π/4 etc.), and the task asks for the exact value, the expression is already in its simplest exact form.

Final Answer

cos(−4/5)=cos(4/5)

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