Simplify sec(( square root of 3)/2)

Problem

sec(√(,3)/2)

Solution

1. Identify the expression as the secant of a constant value, where the angle is √(,3)/2 radians.

2. Apply the definition of the secant function, which is the reciprocal of the cosine function.

sec(√(,3)/2)=1/cos(√(,3)/2)

3. Evaluate the expression. Since √(,3)/2 is not a standard angle (like π/6 or π/3 whose trigonometric values are typically memorized, the expression is already in its simplest exact form.

Final Answer

sec(√(,3)/2)=1/cos(√(,3)/2)

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