The implied domain of y = Cos-1(sin3x)

Solution:

The < and > represent greater than equal to or less than equal to (i dont no what key to press to get them)

-1 < sin3x < 1

sin3x = 1

3x = pie/2

x = pie/6

Therefor [-pie/6, pie/6]

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- May 16th 2008, 06:46 AMsanadoInverse domain
The implied domain of y = Cos-1(sin3x)

Solution:

The < and > represent greater than equal to or less than equal to (i dont no what key to press to get them)

-1 < sin3x < 1

sin3x = 1

3x = pie/2

x = pie/6

Therefor [-pie/6, pie/6] - May 16th 2008, 09:04 AMo_O
You know that the domain for $\displaystyle y = \cos^{-1} (x)$ is $\displaystyle [-1, 1]$.

As you noted, $\displaystyle \sin 3x \in [-1,1]$ for**all**x values. Since for every x, sin 3x will produce a number between -1 and 1 and $\displaystyle y=\cos^{-1} x$ is defined for all these numbers, can you say what the domain is?