SOLUTION: 2. a) if cos theta = -3/4 and tan theta is negative, what is the value of sin theta?
b) in which quadrant of the coordinate plane does the angle -165 lie?
c)name the quadrant in
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Question 723035: 2. a) if cos theta = -3/4 and tan theta is negative, what is the value of sin theta?
b) in which quadrant of the coordinate plane does the angle -165 lie?
c)name the quadrant in which angle theta may lie if cot theta > 0 and sin theta < 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
2. a) if cos theta = -3/4 and tan theta is negative, what is the value of sin theta?
If cos<0 and tan<0, then sin>0. This means the reference angle is in quadrant II.
You are working with a 3-4-5 reference right triangle in quadrant II. so, sin theta=4/5
..
b) in which quadrant of the coordinate plane does the angle -165 lie? quadrant III.
This means rotating 165º clockwise
..
c)name the quadrant in which angle theta may lie if cot theta > 0 and sin theta < 0
quadrant III. This means both sin and cos<0.
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