Question 534887: find all the exact solutions (in degrees)for the equation cos theta (cot theta - sqrt3)=0 in the interval [-270 degrees, 900 degrees],
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find all the exact solutions (in degrees)for the equation cos theta (cot theta - sqrt3)=0 in the interval [-270 degrees, 900 degrees]
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cos theta (cot theta - sqrt3)=0
(cosx)(cotx-√3)=0
cosx=0
x=-270, -90, 90, 270, 450, 630, 810 (degrees)
..
cotx-√3=0
cotx=√3
reference angle=30º in quadrants I and III where cot>0
x=-150, 30, 210, 390, 570, 750 (degrees)
ans:
all solutions:
x=-270, -90, 90, 270, 450, 630, 810 (degrees)
x=-150, 30, 210, 390, 570, 750 (degrees)
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