Okay, I finally got through this thing, and just in time; I had the test on it earlier today! The link to the box? Amazing! I had no idea.
Alright, down to business. From the top.
", probably my favorite term for this chapter.
Invert that function
That equals seemingly random decimals, and I was stuck here for awhile until I realized they aren't random.
They are in radians right now! I totally didn't recognize them, so I changed those into degrees to get:
(Both rounded to four decimal places.) But these are only two of the four answers I need. Well, a friend of mine (in the same class) told me "sin=y cos=x according to the axis" that's all that matters. What that means is, sin is positive in quadrants one and two (just like y), while cos is positive in one and four (just like x). The first answer I have is positive according to sin (which puts it above the y axis) so one of my missing answers is also positive (and therefore also above the y axis), but in the other quadrant. To find it I need to subtract my first answer from 180.
On a unit circle it looks like I'm just going backwards 41.8103 from 180 (all in degrees by the way).
My last missing answer is done in much the same way as the first, but I need to put it in the fourth quadrant. Simply take the absolute value of the second answer and add it to 180.
That makes all four of my answers:
All exactly the same as my book answers!
I really don't know if anyone will understand that middle paragraph, but I get it! It has worked for all the other ones in my book too.
Anyway, thanks Liz. When I started I was waaay off on everything, but you pushed me in all the right directions. Thanks again!