Find the Cosine Given the Point (12,5)

Problem

cos(θ)* given *(x,y)=(12,5)

Solution

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

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

r=√(,12+5)

r=√(,144+25)

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)=12/13

Final Answer

cos(θ)=12/13

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