Question 143493
By the use of 0 you mean theta,θ, correct?

(1)  sec(θ)=3=1/cos(θ)
(2)  tan(θ)=2sqrt(2)=1/cot(θ)=sin(θ)/cos(θ)


a. cot(θ)=?
 From (2) we notice that cot(θ)=1/(2sqrt(2))=sqrt(2)/4
b. sin(θ)=?
 From (1) and (2) we see that sin(θ)=cos(θ)tan(θ)=(1/3)*2sqrt(2)=(2/3)sqrt(2)
c. cos^2(θ)=?
 From (1) we can see that cos(θ)=1/3, thus cos^2(θ)=1/9