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

Problem

cos(θ)* given *(5,−12)

Solution

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

2. Calculate the radius r using the Pythagorean distance formula r=√(,x2+y2)

r=√(,5+(−12)2)

r=√(,25+144)

r=√(,169)

r=13

3. Apply the formula for the cosine of an angle in standard position, which is cos(θ)=x/r

cos(θ)=5/13

Final Answer

cos(θ)=5/13

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