SOLUTION: Use an inverse function to write theta as a function of x. I am also given this image: http://prntscr.com/2jb03k My potential answers are theta= {{{ arccos(3pi/x) }}} {{{ arc

Algebra ->  Trigonometry-basics -> SOLUTION: Use an inverse function to write theta as a function of x. I am also given this image: http://prntscr.com/2jb03k My potential answers are theta= {{{ arccos(3pi/x) }}} {{{ arc      Log On


   



Question 829476: Use an inverse function to write theta as a function of x. I am also given this image:
http://prntscr.com/2jb03k
My potential answers are theta=
+arccos%283pi%2Fx%29+
+arccos%28sqrt%28x%5E2%2B9%29%2F3%29+
+arccos%283%2Fx%29+
+arccos%28x%2F3%29+
+arccos%28%283%29%2F%28sqrt%28x%5E2%2B9%29%29%29+
I'm a bit lost on this one. I don't believe it's the 3rd or the 4th answer, but can't narrow it down any further. Please include the steps you used to get your answer as well, so I can see what you did and better understand the problem. Thank you.

Found 2 solutions by oscargut, lwsshak3:
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x = 3cos(theta)
cos(theta)= x/3
theta = arccos(x/3)
So the answer is the 4th one

If you need more help you can contact me at
mthman@gmail.com
Thanks

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use an inverse function to write theta as a function of x.
Assume a right triangle with:
opposite side=x
adjacent side=3
Then, hypotenuse=sqrt%28x%5E2%2B9%29
theta=arccos%28%283%29%2F%28sqrt%28x%5E2%2B9%29%29%29+