Posted by **Anonymous** on Monday, March 2, 2009 at 11:04pm.

Determine the quadrant in which theta lies:

sec theta>0 and cot theta<0

- precal -
**drwls**, Monday, March 2, 2009 at 11:11pm
sec theta is positive where cos theta is positive. That would be the first and fourth quadrants. Cot theta is negative where tan theta is negative, and that would be in the second and fourth quadrants. The only quadrant that satifies both criteria is the fourth.

- precal -
**Anonymous**, Monday, March 2, 2009 at 11:25pm
why is sec theta positive where cos theta is positive?

- precal -
**drwls**, Monday, March 2, 2009 at 11:30pm
because sec theta = 1/cos theta.

Both functions have the same sign

## Answer this Question

## Related Questions

- trig - If sin theta is equal to 5/13 and theta is an angle in quadrant II find ...
- trig - If theta is the measure of an angle in standard position with the given ...
- I dont think drawing a picture will help me drwls - Which expression is ...
- Trigonometric Functions - Determine the Value of all six trigonometric functions...
- Trig - Let (theta) be an angle in quadrant II such that sec(theta) -4/3 . Find ...
- trig - if (0,-7) lies on the terminal side of angle theta in standard position, ...
- Algebra II - Multiple Choice Which expression is NOT equivalent to 1? (theta) ...
- Pre-Calc - if (0,-7) lies on the terminal side of angle theta in standard ...
- Pre-Calc/Math - if (0,-7) lies on the terminal side of angle theta in standard ...
- Precalculus(NEED HELP ASAP PLEASE!!) - cot(theta)= 3 pi < theta < 3pi/2 ...