Problem

Use the figure of the first quadrant of the unit circle to find the exact circular function value. \[ \tan 0 \]

Solution

Step 1 :The tangent of an angle in the unit circle is defined as the ratio of the y-coordinate to the x-coordinate of the point where the terminal side of the angle intersects the unit circle.

Step 2 :For an angle of 0 degrees, this point is (1,0).

Step 3 :Therefore, the tangent of 0 degrees is 0/1 = 0.

Step 4 :The exact circular function value of \(\tan 0\) is \(\boxed{0}\).

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Source: https://solvelyapp.com/problems/19100/

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