SOLUTION: Find the reference angles q for the angles given below. Find the quadrants in which the angles lie. In addition, show all the steps for deriving the answer. q = 50 degrees q =

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Question 455373: Find the reference angles q for the angles given below. Find the quadrants in which the angles lie. In addition, show all the steps for deriving the answer.
q = 50 degrees
q = 120 degrees
q = 6p/7
q= 3.3
q = 300 degrees
q = -145 degrees

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the reference angles q for the angles given below. Find the quadrants in which the angles lie. In addition, show all the steps for deriving the answer.
---
The reference angle is the POSITIVE ACUTE angle formed by
the terminal side of the given angle and the
NEAREST segment of the x-axis.
-----------------------------------
q = 50 degrees
Ans: 50 degrees
----------------------
q = 120 degrees
Ans: 180-120 = 60 degrees
----------------------
q = 6(pi)/7
Ans: pi - (6/7)pi = (1/7)pi
----------------------
q= 3.3
Ans: 3.3-(pi) = 0.1584 radians
----------------------
q = 300 degrees
Ans: 360-300 = 60 degrees
------
q = -145 degrees
Ans: 180-145 = 35 degrees
====================
Cheers,
Stan H.

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