Find the Cosine Given the Point (15,8)

Problem

cos(θ)* given the point *(15,8)

Solution

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

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

r=√(,15+8)

3. Simplify the expression under the square root.

r=√(,225+64)

r=√(,289)

r=17

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

cos(θ)=15/17

Final Answer

cos(θ)=15/17

Want more problems? Check here!