Find the Value Using the Unit Circle tan(pi/2)

Problem

tan(π/2)

Solution

1. Identify the coordinates on the unit circle for the angle θ=π/2

2. Determine the x and y values at this point, which are (0,1)

3. Apply the formula for the tangent function in terms of unit circle coordinates, where tan(θ)=y/x

4. Substitute the values into the formula:

tan(π/2)=1/0

5. Conclude that since division by zero is undefined, the tangent of π/2 does not exist.

Final Answer

tan(π/2)=Undefined

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