Question

csc(theta) >0, tan (theta) <0 what quadrant does theta lie?

csc(theta) >0, tan (theta) <0 what quadrant does theta lie?

Homework Answers

Answer #1

Since tan(theta) is negative that means it cannot be in the third and the first quadrant.

Since, tan(theta) = height/base = y/x, in first quadtrant y and x are both positive hence tan(theta) is positive, and in the third quadrant both x and y are negative hence tan(theta) is positive.

cosec(theta) =

Since, cosec(theta) is positive in the first and the second quadtrant as both x and y are postive, in the second quadrant is positive and y is positive hence cosec(theta) is positive.

Therefore theta is in the second quadrant since both tan(theta) is negative in the second quadrant and the cosec(theta) is positive in the second quadrant.

Theta is in the second quadrant.

_________________________________________

Feel free to ask any questions in the comments section

Thank You!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find csc θ if tan θ = 5/ 12 and sin θ > 0 . csc...
Find csc θ if tan θ = 5/ 12 and sin θ > 0 . csc θ =
sqrt(3)tan(theta)+1=0
sqrt(3)tan(theta)+1=0
What quadrant does the National Beverage Corp. lie on the Grand Strategy Matrix? Explain why you...
What quadrant does the National Beverage Corp. lie on the Grand Strategy Matrix? Explain why you chose this selection.
Name the Quadrant 1. cot q = -3 , tan q = 2. cot q =...
Name the Quadrant 1. cot q = -3 , tan q = 2. cot q = -3 , tan q = 3. sec q = 1.5 , cos q = 4. cos q = -3/5 , sec q = Solve the identity function 1. tan x / sin x 2. cos t / cot t 3. cos a csc a tan a 4. cot t sec t sin t 5. 1 - cos2 q 6. csc2 q - 1 7....
Find all theta from (-pi,pi) for which the tangent line of r=tan(theta/2) is horizontal. I have...
Find all theta from (-pi,pi) for which the tangent line of r=tan(theta/2) is horizontal. I have gotten to 1/2sec^2(theta/2)*sin(theta)+tan(theta/2)*cos(theta)=0 How do I solve for 0?
If angle  lies in Quadrant I, name the quadrant in which the following angles lie : A)  ...
If angle  lies in Quadrant I, name the quadrant in which the following angles lie : A)   B)   C)   D)
find the area of the part of the circle r=4sin(theta) +cos(theta) in the fourth quadrant.
find the area of the part of the circle r=4sin(theta) +cos(theta) in the fourth quadrant.
1. Find all angles θ,0≤θ≤2π (Double angle formula, To two decimal places) a) Tan theta =...
1. Find all angles θ,0≤θ≤2π (Double angle formula, To two decimal places) a) Tan theta = 0.3, b) cos theta = 0.1, c) sin theta = 0.1, d) sec theta = 3
solve differential equation by variation of parameters y''+y=sec(theta) tan(theta)
solve differential equation by variation of parameters y''+y=sec(theta) tan(theta)
Suppose theta is an acute angle in a right triangle. Given tan(\theta )=(3)/(5), evaluate:1-sin^(2)(\theta ).
Suppose theta is an acute angle in a right triangle. Given tan(\theta )=(3)/(5), evaluate:1-sin^(2)(\theta ).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT