Find the Exact Value sec(3)

Problem

sec(3)

Solution

1. Identify the expression as the secant of the real number 3

2. Determine if the input is in degrees or radians. Since there is no degree symbol, 3 is treated as a value in radians.

3. Recognize that 3 is not a standard reference angle (like π π/2 or π/4.

4. Express the secant function in terms of the cosine function using the reciprocal identity.

sec(x)=1/cos(x)

5. Substitute the value 3 into the identity.

sec(3)=1/cos(3)

6. Conclude that because 3 is not a multiple of a standard angle, the exact value is represented by the expression itself or its reciprocal form.

Final Answer

sec(3)=1/cos(3)

Want more problems? Check here!