SOLUTION: Please help. If sin &#952; < 0 and tan &#952; = &#8722;4/5, in which quardrant does &#952; terminate? a)I b)II c)III d)IV Thanks Kamla

Algebra ->  Trigonometry-basics -> SOLUTION: Please help. If sin &#952; < 0 and tan &#952; = &#8722;4/5, in which quardrant does &#952; terminate? a)I b)II c)III d)IV Thanks Kamla      Log On


   

Question 388699: Please help.
If sin θ < 0 and tan θ = −4/5, in which quardrant does θ terminate?
a)I
b)II
c)III
d)IV
Thanks
Kamla
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help.
If sin θ < 0 and tan θ = −4/5, in which quardrant does θ terminate?
---
tan = y/x
If tan is negative either x or y must be negative.
---
sin = y/r
r is never negative, so y must be netative
---
Conclusion: y is negative so x must be positive.
What Quadrant is that?
Cheers,
Stan H.
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a)I
b)II
c)III
d)IV