Find the reference angle of
The Attempt at a Solution
I can tell you right now, that the answer is pi / 6.
My method would be to sketch the angle, find out at which point the appropriate x axis-coordinate will be used (for this example it would just be 180*, or Pi radians), and subtract from the original angle, considering only absolute value.
|(- 7 pi / 6) - (6 pi / 6) | = pi / 6
I understand what a reference angle is, but this is a step by step online problem that essentially requires me to go through *their* process, and I literally have no idea what they are doing. They seem to be making it leagues harder than what it actually is.
I am first instructed to sketch the angle in question and find what quadrant of a x-y graph the terminal side falls in.
Here is my sketch of the angle (this is actually the wrong sketch, I mixed up two problems, but regardless):
Which shows that the angle terminates in quadrant I.
After entering that, I am told that "The angle corresponding to the branch of the X-axis that forms an acute angle with the terminal side of the given angle has the measure 0."
What? Clearly the sketch shows that the terminal side forms an angle of 0 with nothing. What are they talking about? Perhaps someone can rephrase this?
I can't figure out what they mean here, and it's hindering my progress. Why did I need to know the quadrant, exactly? What forms an angle with the measure 0? I see nothing of the sort here.
I understand exactly what a reference angle is, but I don't understand the method they are using to arrive at the answer.
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