Evaluate tan(60 degrees )

Problem

tan(60)

Solution

1. Identify the angle on the unit circle. The angle 60 corresponds to the point (x,y)=(1/2,√(,3)/2) on the unit circle.

2. Apply the definition of the tangent function. The tangent of an angle is the ratio of the ycoordinate to the xcoordinate.

tan(θ)=y/x

3. Substitute the coordinates for 60 into the formula.

tan(60)=√(,3)/2/1/2

4. Simplify the fraction by multiplying by the reciprocal of the denominator.

tan(60)=√(,3)/2⋅2/1

tan(60)=√(,3)

Final Answer

tan(60)=√(,3)

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