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

Problem

cos(θ)* given the point *(7,−24)

Solution

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

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

r=√(,7+(−24)2)

r=√(,49+576)

r=√(,625)

r=25

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

cos(θ)=7/25

Final Answer

cos(θ)=7/25

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