SOLUTION: Consider the angle theta = -1283 degrees
A. Find two other coterminal angles to theta.
B. What quadrant is theta in? Provide reasoning.
C. Is cos theta positive or negativ
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Question 648102: Consider the angle theta = -1283 degrees
A. Find two other coterminal angles to theta.
B. What quadrant is theta in? Provide reasoning.
C. Is cos theta positive or negative? How do you know?
D. Which is greater sin theta or co-secant theta? How do you know?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Consider the angle theta = -1283 degrees
This means going around the circle clockwise 1080º+203º
3*360+203=1283º This positions the angle in quadrant IV
..
A. Find two other coterminal angles to theta.
360+203=563º and 720+203=923º
..
B. What quadrant is theta in? Provide reasoning.
Quadrant IV as explained above.
..
C. Is cos theta positive or negative? How do you know?
cos is always >0 in quadrant IV
..
D. Which is greater sin theta or co-secant theta? How do you know?
203º in quadrant IV makes a reference angle of 360-203=157º
sin157º≈-.39 in quadrant IV where sin<0
csc 203=1/sin157=-1/.39≈-2.6.
-.39>-2.6
Therefore sin theta>csc theta
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