Question

If cosθ = 2/3 and 270° < θ 360° , then determine the exact value of (1/cotθ).

Answer 1

Have you ever used a unit circle before?

Answer 2

Yes

Answer 3

but only an intro

Answer 4

cosθ = 2/3
270° < θ <360°
θ is in 4th quadrant
tan θ is negative
cosθ=side/hyp
From the Pythagorean theorem
opp = sqrt(3^2-2^2)=sqrt(5)
1/cotθ=tanθ=opp/side =sqrt5/2

source: http://www.mathskey.com/question2answer

Answer 5

thank you :)