Find an interval of values on the domain [0,2π] for θ that makes the follow ing set of statements true.
a) cscθ>0 and cosθ<0
b) tanθ<0 and secθ>0
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 )