CBSE Class 12-science Answered
what is the maximum value of sin 2theta? answer it in the form of inequalities i.e [-1,1]
Asked by aashu.60 | 12 May, 2016, 05:22: AM
![C o n s i d e r space t h e space f u n c t i o n comma space y equals sin 2 x
W e space n e e d space t o space f i n d space t h e space m a x i m u m space v a l u e space o f space sin 2 x
S i n e space f u n c t i o n space t a k e s space t h e space m a x i m u m space v a l u e space 1
T h u s comma space m a x i m u m space left parenthesis sin 2 x right parenthesis equals 1
T h e n space 2 x equals straight pi over 2
rightwards double arrow x equals straight pi over 4
S o comma space w h e n space x equals straight pi over 4 comma space y equals 1
O b s e r v e space t h e space f o l l o w i n g space g r a p h
I t space i s space a space g r a p h space o f space sin e space f u n c t i o n
T h u s comma space t h e space m a x i m u m space v a l u e space r e a c h e s space a t space x equals straight pi over 4 comma space y equals 1](https://images.topperlearning.com/topper/tinymce/cache/32a034ab222820034b2b63bc691f8795.png)
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/6c78458f0d8fd9026ff29a9359feada65733ea29b11996.58797128expert120520161.jpg)
Answered by Vimala | 12 May, 2016, 07:58: AM
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