Question 133377: Find each positive angle in the interval [0(degrees),360(degrees)). Remember to find reference angle first. Round to two decimal places.
a.) If 2cot theta - 3=7, find family member of theta in Q2.
b.) If sec beta = -3, find family member of beta in Q4.
c.) csc alpha = 5.2, when sec alpha < 0 (there are two angles).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find each positive angle in the interval [0(degrees),360(degrees)). Remember to find reference angle first. Round to two decimal places.
a.) If 2cot theta - 3=7, find family member of theta in Q2.
2cot(theta) = 10
cot(theta) = 5
tan(theta) = 1/5
theta = 11.309 (reference angle)
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Note: cot is not positive in the 2nd quadrant
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b.) If sec beta = -3, find family member of beta in Q4.
Note: secant is not negative in the 4th quadrant
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c.) csc alpha = 5.2, when sec alpha < 0 (there are two angles).
sin(alpha) = 1/5.2 = 0.1923...
alpha1 = 11.087... degrees (reference angle)
Other angle where sin(theta)= 1/5.2
alpha2 = 180-11.087= 168.9125...
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Cheers,
Stan H.
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