Find the Exact Value sec(1.3)

Problem

sec(1.3)

Solution

1. Identify the given expression as the secant of a value in radians, since no degree symbol is present.

2. Recall the reciprocal identity for the secant function, which states that sec(x)=1/cos(x)

3. Substitute the value 1.3 into the identity to rewrite the expression in terms of cosine.

4. Evaluate the cosine of 1.3 radians. Since 1.3 is not a standard angle (like π/6 or π/4, the exact value is represented by the expression itself.

Final Answer

sec(1.3)=1/cos(1.3)

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