Find the Exact Value sec(8)

Problem

sec(8)

Solution

1. Identify the expression as the secant of a real number, where the argument 8 is measured in radians.

2. Recognize that 8 is not a standard multiple of π (such as π/6 π/4 π/3 or π/2, which means it does not correspond to a standard unit circle coordinate with a simple radical or rational value.

3. Apply the reciprocal identity for the secant function to express it in terms of the cosine function.

sec(8)=1/cos(8)

4. Determine if further simplification is possible. Since 8 is an integer radian value and not a special angle, the exact value is represented by the expression itself.

Final Answer

sec(8)=1/cos(8)

Want more problems? Check here!