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