Question

What is the value of cosθ
if the terminal side of θ
and the unit circle intersect at point (2√2, −2√2)
.(1 point)
Responses

−2√2

negative Start Fraction Start Root 2 End Root over 2 End Fraction

−12

negative Start Fraction 1 over 2 End Fraction

2√2

fraction with numerator square root of 2 and denominator 2

12

Answer 1

The direction of the point is proportional to (2√2, −2√2). Normalize: r = √((2√2)^2+(−2√2)^2)=√(8+8)=4. So cosθ = x/r = (2√2)/4 = √2/2.