SOLUTION: Does {{{sin(x) + x}}} prove reflection for physics-real relationships with {{{tan(sin(x))^(-1) + x}}}? If so, how many solutions are there (I do not need the possible solutions.)

Algebra ->  Trigonometry-basics -> SOLUTION: Does {{{sin(x) + x}}} prove reflection for physics-real relationships with {{{tan(sin(x))^(-1) + x}}}? If so, how many solutions are there (I do not need the possible solutions.)      Log On


   

Question 45042: Does sin%28x%29+%2B+x prove reflection for physics-real relationships with tan%28sin%28x%29%29%5E%28-1%29+%2B+x? If so, how many solutions are there (I do not need the possible solutions.)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First, set these values to f(x):
sin%28x%29+%2B+x+=+f%28x%29
tan%28sin%28x%29%29%5E%28-1%29+%2B+x+=+f%28x%29
Graph:

Yes, they show reflection. There are infinitely many solutions.
Idea:
tan(sin(x))^(-1) + x
for
sin(x)
also:
tan(cos(x))^(-1) + x
cos(x) + x
*tan(x) does not work though*