Question

State the quadrant in which θ lies.
a) sin θ < 0 and tan θ >0
b) cos θ < 0 and sin θ < 0
c) tan θ > 0 and cos θ >0
d) tan θ < 0 and cos θ < 0
e) csc θ > 0 and cot θ < 0

Answer 1

a) Third
b) Third
c)Third
d)Second
e)Second

Answer 2

Hm. in C.. If
\[ tan(\theta) > 0 \quad\quad \text{ and } \quad\quad cos(\theta) > 0 \]
Since
\[
\tan(\theta) = \frac{sin(\theta)}{cos(\theta)}\\
\text{Then } sin(\theta) \text{ ought to be positive}
\]
So if both the cos and the sin positive it should be first one not third.
Unless I'm missing something

Answer 3

@pitamar You are correct, its in the first one. Thanks for the heads up.