SOLUTION: x is an angle in standard position with 0&#8804;x&#8804;2&#960;. Determine the quadrant of x if tan x<0 and sin x<0

Algebra ->  Trigonometry-basics -> SOLUTION: x is an angle in standard position with 0&#8804;x&#8804;2&#960;. Determine the quadrant of x if tan x<0 and sin x<0       Log On


   



Question 951059: x is an angle in standard position with 0≤x≤2π. Determine the quadrant of x if tan x<0 and sin x<0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In the 1st and 2nd quadrants, the
sin is positive, being (+) / (+),
so the angle +x+ can be in
either the 3rd or 4th quadrant
---------------------------
In the 3rd quadrant, the tan is
(-) / (-) ,which is positive, so the
angle +x+ must be in the
4th quadrant
-------------------
check:
tan is (-) / (+)
sin is (-) / (+)
--------------
+tan%28x%29+%3C0+
+sin%28x%29+%3C+0+
OK