00:04
Before we dive into the questions about inverse sine, inverse cosine, and inverse tangent of functions, we want to first summarize the domain and the range for sine of x and cosine of x and tangent of x functions.
00:21
So the domain for sine of x is from negative infinity to infinity, and the range is from negative one to one.
00:30
Cosine function is from negative infinity to infinity, and the range is the same as sine of x.
00:38
And for tangent of x, okay, the domain is a little bit different.
00:44
That is, okay, x cannot be pi over two plus k pi.
00:50
K is integer.
00:56
That means x cannot be pi over two, three pi over two, five pi over two, negative pi over two, and the range is from negative infinity to infinity.
01:22
Now let's answer the questions about inverse function.
01:27
We know that the domain of the inverse function is the range of the original function and verse versa, okay? that means the range of the inverse function is the domain of the original function, okay? vice versa.
02:31
So we can answer the questions.
02:35
For part a, the function sine inverse has domain and the range.
03:12
So domain is the range of the original function, so that is from negative 1 to 1...