SOLUTION: Determine the quadrant containing the terminal side of &#952; under the given conditions. tan &#952; > 0 and sin &#952; < 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine the quadrant containing the terminal side of &#952; under the given conditions. tan &#952; > 0 and sin &#952; < 0      Log On


   

Question 1098099: Determine the quadrant containing the terminal side of θ under the given conditions.
tan θ > 0 and sin θ < 0
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
cos%28theta%29= the x-coordinate of the point P%28x%2Cy%29 where the terminal side of the angle intersects the unit circle.
sin%28theta%29= the y-coordinate of the point where the terminal side of the angle intersects the unit circle.
In this case, the terminal side crosses the circle of radius 1 at a point with
y%3C0 , but y%2Fx%3E0 , so it must be x%3C0 too.
P is in the third quadrant, quadrant III.