Find the Tangent Given the Point (12,5)

Problem

Find the tangent of the angle formed by the point *(12,5)

Solution

1. Identify the coordinates of the given point (x,y) where x=12 and y=5

2. Recall the trigonometric definition of the tangent function for a point in the Cartesian plane, which is the ratio of the y-coordinate to the x-coordinate.

3. Apply the formula for tangent:

tan(θ)=y/x

4. Substitute the values x=12 and y=5 into the formula:

tan(θ)=5/12

Final Answer

tan(θ)=5/12

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