Find the Exact Value tan(360 degrees )

Problem

tan(360^∘)

Solution

1. Identify the position of the angle 360^∘ on the unit circle.

2. Determine the coordinates (x,y) at 360^∘ which is equivalent to 0^∘

3. Recall the coordinates at this point are (1,0)

4. Apply the trigonometric definition tan(θ)=y/x

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

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

Final Answer

tan(360^∘)=0

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