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Find the Tangent Given the Point (-12,5)

Problem

(−12,5)

Solution

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

  2. Apply the formula for the tangent of an angle θ in standard position, which is defined as the ratio of the ycoordinate to the xcoordinate.

  3. Substitute the values into the formula tan(θ)=y/x

  4. Simplify the fraction by placing the negative sign in front of the ratio.

Final Answer

tan(θ)=−5/12


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