Find the Value Using the Unit Circle tan(0)

Problem

tan(0)

Solution

1. Identify the coordinates on the unit circle for the angle 0 radians.

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

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

4. Substitute the values x=1 and y=0 into the formula.

5. Simplify the fraction 0/1 to find the final value.

Final Answer

tan(0)=0

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