Find the Cosine Given the Point (-24,7)

Problem

cos(θ)* given the point *(−24,7)

Solution

1. Identify the coordinates of the given point (x,y) where x=−24 and y=7

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

r=√(,(−24)2+7)

r=√(,576+49)

r=√(,625)

r=25

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

cos(θ)=(−24)/25

Final Answer

cos(θ)=−24/25

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