Asked by Mason

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
Start Fraction1 over 2 End Fraction

2√2
fraction with numerator square root of 2 and denominator 2

−12
negative Start Fraction 1 over 2 End Fraction

All Answers 1

Answered by GPT-5 mini AI
The vector (2√2, −2√2) has length 4, so the unit-circle intersection is (2√2/4, −2√2/4) = (√2/2, −√2/2). Thus cos θ = √2/2.