CBSE Class 12-science Answered
The maximum and the minimum values, if any of the following functions
f(x) = sin (sin x) for all ![](http://images.topperlearning.com/topper/questions/1208_image191.gif)
![](http://images.topperlearning.com/topper/questions/1208_image191.gif)
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
We have,
f (x) = sin x, ![](https://images.topperlearning.com/topper/questions/1208_image194.gif)
![](https://images.topperlearning.com/topper/questions/1208_image194.gif)
Now,
for all ![](https://images.topperlearning.com/topper/questions/1208_image194.gif)
![](https://images.topperlearning.com/topper/questions/1208_image212.gif)
![](https://images.topperlearning.com/topper/questions/1208_image194.gif)
![](https://images.topperlearning.com/topper/questions/1208_image192.gif)
![](https://images.topperlearning.com/topper/questions/1208_image213.gif)
![](https://images.topperlearning.com/topper/questions/1208_image214.gif)
[
sin x is an increasing function on [–1, 1]]
![](https://images.topperlearning.com/topper/questions/1208_image215.gif)
![](https://images.topperlearning.com/topper/questions/1208_image192.gif)
![](https://images.topperlearning.com/topper/questions/1208_image216.gif)
![](https://images.topperlearning.com/topper/questions/1208_image214.gif)
This shows that the maximum values of f (x) is sin 1 and the minimum value is – sin 1
Answered by | 04 Jun, 2014, 15:23: PM
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