SOLUTION: If cscθ=-5/4 and 180 degrees<θ<270 degrees, find tanθ
A. -4/3
B. 3/4
C. 4/3
D. -4/5
Thank you so much for all of your help!!!!
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Question 388905: If cscθ=-5/4 and 180 degrees<θ<270 degrees, find tanθ
A. -4/3
B. 3/4
C. 4/3
D. -4/5
Thank you so much for all of your help!!!!
God Bless and Happy Holidays!!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If cscθ=-5/4 and 180 degrees<θ<270 degrees, find tanθ
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csc = r/y
If csc = -5/4, r = 5 and y = -4
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Then x = sqrt[5^2-4^2] = 3
But theta is in the 3rd quadrant, so x = -3
---
Therefore tan(theta) = y/x = -4/-3 = 4/3
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Cheers,
Stan H.
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A. -4/3
B. 3/4
C. 4/3
D. -4/5
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