Interactive practice questions
$\theta$θ is an angle of rotation corresponding to the point $\left(x,y\right)$(x,y) on the unit circle such that $\sec\left(\theta\right)$sec(θ)$>$>$0$0 and $\csc\left(\theta\right)$csc(θ)$>$>$0$0, which quadrant is $\left(x,y\right)$(x,y) located in?
quadrant $II$II
quadrant $IV$IV
quadrant $III$III
quadrant $I$I
$\theta$θ is an angle of rotation corresponding to the point $\left(x,y\right)$(x,y) on the unit circle such that $\cot\left(\theta\right)$cot(θ)$>$>$0$0 and $\csc\left(\theta\right)$csc(θ)$<$<$0$0. Which quadrant is $\left(x,y\right)$(x,y) located in?
If $\theta$θ is an angle such that $\sin\theta$sinθ$<$<$0$0 and $\csc\theta$cscθ$<$<$0$0, which quadrant(s) does it lie in?
If $\theta$θ is an angle such that $\cos\theta$cosθ$>$>$0$0 and $\sec\left(\theta\right)$sec(θ)$>$>$0$0, which quadrant(s) does it lie in?