Find the Cosine Given the Point (15,-8)

Problem

cos(θ)* given *(x,y)=(15,−8)

Solution

1. Identify the coordinates of the given point, where x=15 and y=−8

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

3. Substitute the values into the formula: r=√(,15+(−8)2)

4. Simplify the expression under the square root: r=√(,225+64)=√(,289)

5. Evaluate the square root to find r=17

6. Apply the trigonometric definition cos(θ)=x/r

7. Substitute the known values to find cos(θ)=15/17

Final Answer

cos(θ)=15/17

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