Find the Cosine Given the Point (-6,-5)

Problem

cos(θ)* given the point *(−6,−5)

Solution

1. Identify the coordinates of the given point (x,y) where x=−6 and y=−5

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

r=√(,(−6)2+(−5)2)

r=√(,36+25)

r=√(,61)

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

cos(θ)=(−6)/√(,61)

4. Rationalize the denominator by multiplying the numerator and denominator by √(,61)

cos(θ)=(−6√(,61))/61

Final Answer

cos(θ)=−(6√(,61))/61

Want more problems? Check here!