Find the Value Using the Unit Circle sec(0)

Problem

sec(0)

Solution

1. Identify the definition of the secant function in terms of the cosine function.

sec(θ)=1/cos(θ)

2. Determine the coordinates on the unit circle at the angle 0 radians.

(x,y)=(1,0)

3. Recall that on the unit circle, cos(θ) is equal to the xcoordinate of the point.

cos(0)=1

4. Substitute the value of cos(0) into the secant formula.

sec(0)=1/1

5. Simplify the fraction to find the final value.

sec(0)=1

Final Answer

sec(0)=1

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