SOLUTION: Find the quadrant (1, 2, 3, or 4) containing the points on the unit circle satisfying the given conditions. csc(t) > 0 tan(t) > 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the quadrant (1, 2, 3, or 4) containing the points on the unit circle satisfying the given conditions. csc(t) > 0 tan(t) > 0      Log On


   



Question 616202: Find the quadrant (1, 2, 3, or 4) containing the points on the unit circle satisfying the given conditions.
csc(t) > 0
tan(t) > 0

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
CAST is the key to this. Starting in the 4th quadrant and moving counter clock wise, write CAST.


IV quadrant - only COS (and its reciprocal SEC) are positive.

I quadrant - All trig functions are positive.

II quadrant - SIN (and CSC) are positive.

III quadrant - TAN (and COT) are positive.


- Condition 1 indicates this is in quadrant I or II.

- Condition 2 (TAN must be positive) eliminates quadrant II (TAN is negative in quadrant II), so it must be quadrant I.


Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)