Find the Cosine Given the Point (-4,-3)

Problem

cos(θ)* given *(x,y)=(−4,−3)

Solution

1. Identify the coordinates of the given point as x=−4 and y=−3

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

3. Substitute the values into the formula: r=√(,(−4)2+(−3)2)=√(,16+9)=√(,25)=5

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

5. Substitute x=−4 and r=5 to find the final value.

Final Answer

cos(θ)=−4/5

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