+895 Find an interval of values on the domain \([0,2\pi]\) for \(\theta \) that makes the follow ing set of statements true.
a) \(csc\theta>0\) and \(cos{\theta}<0\)
b) \(tan\theta<0\) and \(sec\theta>0\)
+128448 a) csc θ > 0 and cos θ < 0
csc is related to the sine.....so the sine θ > 0 in Q1, Q2
And the cos θ < 0 in Q2 and Q3
So.....the intersection of these is Q2 ⇒ ( pi/2, pi)
b ) tan θ < 0 and secθ > 0
tan θ < 0 in Q2 , Q4
An sec is related to the cos.....so cos θ > 0 in Q1 , Q4
So.....the intersection of these is Q4 ⇒ (3pi/2, 2pi )
