Find the Exact Value sec(50)

Problem

sec(50)

Solution

1. Identify the expression as the secant of an angle measured in degrees.

2. Relate the secant function to the cosine function using the reciprocal identity sec(θ)=1/cos(θ)

3. Determine if 50 is a standard reference angle (like 0,30,45,60,90. Since 50 is not a standard angle, its exact value cannot be expressed using simple radicals or integers.

4. State the exact value in terms of the reciprocal trigonometric function.

Final Answer

sec(50)=1/cos(50)

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