Find the Cosine Given the Point (21,28)

Problem

cos(θ)* given the point *(21,28)

Solution

1. Identify the coordinates of the given point (x,y) where x=21 and y=28

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

r=√(,21+28)

r=√(,441+784)

r=√(,1225)

r=35

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

cos(θ)=21/35

4. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 7

cos(θ)=3/5

Final Answer

cos(θ)=3/5

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