Find the Tangent Given the Point (1/2,( square root of 3)/2)

Problem

ƒ(x)=tan(x), at *(1/2,√(,3)/2)

Solution

1. Identify the task as finding the value of the tangent function at the given xcoordinate, where the point (x,y) is on the unit circle.

2. Recall the definition of the tangent function in terms of coordinates on the unit circle, where tan(θ)=y/x

3. Substitute the given values x=1/2 and y=√(,3)/2 into the ratio.

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

Final Answer

tan(θ)=√(,3)/2/1/2=√(,3)

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