posted by George .
ok so I'm learning to solve problems like
I've wrapped my head around the process required to do so and I must say my brain is like @_@ mosh right now. Whenever I ask this question I never get a direct answer. I understand it's important to be able to define such angles and that this field of math is a valid field and worth studying but why??? Why would I ever need to know how to do this? Like it really hurts my head and I don't see when I would ever need to be able to solve such a problem in real life other than a text book...
I agree with you... I will not be able to solve for x either, when I am given
cos(x)=2, or sin(x)=5.
The reason is because for any real value of x, cos(x) and sin(x) vary between -1 and +1. This means that the solutions to the two given equations do not exist!
I hope you have not made a typo, unless your teacher is training you to think outside of the box.
As to whether you'll ever going to need to know how to solve these problems, it all depends on what you want to do later in life. If you want to flip burgers for the rest of your life, you will never need to know this stuff. If you will be doing renovations, landscaping, and a whole lot of "ordinary guy" jobs, this skill will definitely help you.
By the way George, you said you have done the programming exercises for the whole computer programming textbook before classes even started, you could not possibly have this cos(x) problem bother you, could you?
May I also add computer programming as one of the areas where trigonometry would be a definite asset?