SOLUTION: Determine the quadrant containing the terminal side of θ under the given conditions. csc θ > 0 and sec θ > 0

Algebra.Com
Question 1098100: Determine the quadrant containing the terminal side of θ under the given conditions.
csc θ > 0 and sec θ > 0
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
1.  csc is cosec, which is 1/sin.   


    So, you are given that  > 0.



2.  sec is 1/cos.


    So, you are given that  > 0.



3.  The only quadrant where both sine is positive and cosine is positive is QI.


    Hence,  is in QI.


RELATED QUESTIONS

Determine the quadrant containing the terminal side of θ under the given conditions. (answered by KMST)
Determine the quadrant containing the terminal side of θ under the given conditions. (answered by Theo)
Determine the quadrant containing the terminal side of θ under the given conditions. (answered by CubeyThePenguin)
csc(θ)=11/8 and the terminal side ofθ is in quadrant II. Find the exact... (answered by Alan3354)
Evaluate the expression under the given conditions. sin(θ/2); tan θ = −... (answered by lwsshak3)
If secθ = -2 and sin θ > 0, find the exact value of the six trigonometric... (answered by Edwin McCravy,AnlytcPhil)
The terminal side of an angle passes through the given ordered pairs below. For each... (answered by KMST)
If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six (answered by lwsshak3)
If secθ = cscθ, and θ is not in Quadrant 1, determine the measure of... (answered by Alan3354)