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

Problem

cos(θ)* given *(x,y)=(24,−7)

Solution

1. Identify the coordinates of the given point as x=24 and y=−7

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

r=√(,24+(−7)2)

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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