SOLUTION: Express each as a trigonometric function of a reference angle and give the value to 4 decimal places. a. cot(-135 degrees) b. sec(-260 degrees) c. csc 200 degrees d.csc 175 deg

Algebra ->  Angles -> SOLUTION: Express each as a trigonometric function of a reference angle and give the value to 4 decimal places. a. cot(-135 degrees) b. sec(-260 degrees) c. csc 200 degrees d.csc 175 deg      Log On


   



Question 180059: Express each as a trigonometric function of a reference angle and give the value to 4 decimal places.
a. cot(-135 degrees)
b. sec(-260 degrees)
c. csc 200 degrees
d.csc 175 degrees
e. cos(-67 degrees)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express each as a trigonometric function of a reference angle and give the value to 4 decimal places.
a. cot(-135 degrees)
-135 is in the III Quadrant
cot is positive in the III Quadrant
The reference angle is -135+180 = 45
Ans: cot(45)
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b. sec(-260 degrees)
-260 is in Q II
sec is negative in Q II
The reference angle is 80 degrees
Ans: -sec(80)
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c. csc 200 degrees
200 is in Q III
csc is negatie in Q III
The reference angle is 20 degrees
Ans: -csc(20)
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d.csc 175 degrees
175 in in Q II
csc is positive in Q II
the reference angle is 5 degrees
Ans: csc(5)
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e. cos(-67) degrees
-67 is Q IV
cos is positive in Q IV
the reference angle is 67 degrees
Ans: cos(67)
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Cheers,
Stan H.