Find the Cosine Given the Point (0,-2)

Problem

cos(θ)* given the point *(0,−2)

Solution

1. Identify the coordinates of the given point (x,y) where x=0 and y=−2

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

r=√(,0+(−2)2)

r=√(,4)

r=2

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

cos(θ)=0/2

4. Simplify the fraction to find the final value.

cos(θ)=0

Final Answer

cos(θ)=0

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