SOLUTION: Let f(x)= sqrt (1-cosx) , what is the domain of f(x)? More than just the answer, I need a good explanation to the answer. Please help.

Algebra ->  Functions -> SOLUTION: Let f(x)= sqrt (1-cosx) , what is the domain of f(x)? More than just the answer, I need a good explanation to the answer. Please help.       Log On


   



Question 545813: Let f(x)= sqrt (1-cosx) , what is the domain of f(x)?
More than just the answer, I need a good explanation to the answer. Please help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)= sqrt (1-cosx) , what is the domain of f(x)?
----
Since you want the square root, 1-cos(x) must not be negative.
---
Solve 1-cos(x) >= 0
cos(x) <= 1
----
But -1 <= cos(x) <= 1 for all "x".
----
So Domain is All Real Numbers.
==============
Cheers,
Stan H.
==============