Algebra-2

On the unit circle, the sign of the x- and y-coordinates determines the quadrant:  
x > 0 ,  y > 0 : First quadrant.  
x < 0 ,  y > 0 : Second quadrant.
x < 0 ,  y < 0 : Third quadrant.  
x > 0 ,  y < 0 : Fourth quadrant.  

1. Secant () is positive when cosine is positive.
This happens in the first and fourth quadrants.  

2. Tangent () is negative when sine and cosine have opposite signs.
This happens in the fourth quadrant (