SOLUTION: Given the following, evaluate cos cos= 1/2 tan is negative?

Question 9954: Given the following, evaluate cos
cos= 1/2
tan is negative?
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
i am assuming i have understood your stripped down version of the question... Also look into my Lesson of Trig equations, as the explanation is there, more than what i will explain here.

Let angle be A, so cosA=1/2...what is the angle if tanA is negative.

Well, from your calculator, angle A is 60 degrees but if we do tan60, we get a positive angle.

Question is, where is cos +ve but tan -ve? Answer is the 4th quadrant, so the angle we require is actually 300 degrees...

cos300 --> +1/2
tan300 is -ve

jon.

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