Find the Cosine Given the Point (9,40)

Problem

cos(θ)* given *(x,y)=(9,40)

Solution

1. Identify the coordinates of the given point, where x=9 and y=40

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

r=√(,9+40)

r=√(,81+1600)

r=√(,1681)

r=41

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

cos(θ)=9/41

Final Answer

cos(θ)=9/41

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