Find the Cosine Given the Point (8,-6)

Problem

cos(θ)* given *(8,−6)

Solution

1. Identify the coordinates of the given point (x,y) where x=8 and y=−6

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

r=√(,8+(−6)2)

r=√(,64+36)

r=√(,100)

r=10

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

cos(θ)=8/10

4. Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2

cos(θ)=4/5

Final Answer

cos(θ)=4/5

Want more problems? Check here!