Simplify sec( square root of 2)

Problem

sec(√(,2))

Solution

1. Identify the expression as the secant of the square root of 2.

2. Determine if the argument √(,2) corresponds to a standard angle in trigonometry. Since √(,2)≈1.414 radians and is not a common multiple of π the expression cannot be simplified into a simpler exact numerical value or radical.

3. Rewrite using the reciprocal identity if needed. The secant function is defined as the reciprocal of the cosine function.

Final Answer

sec(√(,2))=1/cos(√(,2))

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