# In which quadrants do cosine and tangent have the same sign?

Cosine and tangent have the same sign in quadrant in $I$ and $I I$ quadrants.
$\left[\begin{matrix}R a t i o & I & I I & I I I & I V \\ \sin & + & + & - & - \\ \cos & + & - & - & + \\ \tan & + & - & + & - \\ \cot & + & - & + & - \\ \sec & + & - & - & + \\ \csc & + & + & - & -\end{matrix}\right]$
Hence, cosine and tangent have the same sign in quadrant in $I$ and $I I$ quadrants.