SOLUTION: Solve for x in the given interval. sec x=(2sqrt3)/3 ((3pi)/2)≤x ≤(2pi)

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Question 1129006: Solve for x in the given interval.
sec x=(2sqrt3)/3
((3pi)/2)≤x ≤(2pi)

Answer by Edwin McCravy(20062)   (Show Source): You can put this solution on YOUR website!


First we take the reciprocals of both sides, using the
fact that the reciprocal of the secant is the cosine:

Rationalize the denominator on the right side:




This is positive, and the cosine is positive in QI and QIV
From the unit circle, we get the first quadrant answer as 30°
or
The interval is Q4,
So to get the angle in Q4, we subtract from .

Answer:
Edwin
 

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