Find the Exact Value sec(1.8)

Problem

sec(1.8)

Solution

1. Identify the expression as the secant of a value given in radians.

2. Recall the reciprocal identity for the secant function.

sec(θ)=1/cos(θ)

3. Substitute the value 1.8 into the identity.

sec(1.8)=1/cos(1.8)

4. Determine if the value can be simplified further. Since 1.8 is not a standard multiple of π (like π/6 π/4 or π/3, the exact value is expressed in terms of the cosine function.

Final Answer

sec(1.8)=1/cos(1.8)

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