How many solutions does Cos^-1(0) have?
My answer is 1...is this correct?

Question

How many solutions does Cos^-1(0) have?
My answer is 1...is this correct?

ash2326 · Answer

Yeah you're right

anonymous · Answer

$$
\frac \pi2 $$ if you mean the one valued function
$$ \cos^{-1}(0)
$$

anonymous · Answer

1 is not right.

anonymous · Answer

@eliassaab , is that how many solutions Cos^-1(0) can have? Or something else?

ash2326 · Answer

If 
$$y = \cos^{-1} 0$$
then there is one solution for y
but if we have
$$ \cos y=0$$
and we need to find the solution of this
then there are innumerable solutions

anonymous · Answer

Yeah it's how many solutions there are for the entire notation Cos^-1(0)...so it's infinite?

ash2326 · Answer

@missfitz5172 you're correct. It has only 1 solution because
$$ \cos^{-1} x$$
is defined like that
its range is [0, $\pi$]
so only one solution exist at $\pi/2$

anonymous · Answer

@ash2326 oh ok that makes sense! thank you very much!

ash2326 · Answer

You got it??

anonymous · Answer

yeah! (:

ash2326 · Answer

Welcome to Open Study:)
Glad to help you:D