Find the Exact Value sec(64)

Problem

sec(64)

Solution

1. Identify the expression as the secant of an angle measured in degrees.

2. Determine if the angle 64 is a standard reference angle (such as 0,30,45,60,90.

3. Conclude that since 64 is not a standard reference angle, its exact value cannot be expressed using simple radicals or integers.

4. Express the value in terms of its reciprocal identity if needed, which is the cosine function.

Final Answer

sec(64)=sec(64)

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