what is the maximum value of sin 2theta? answer it in the form of inequalities i.e [-1,1]

Asked by aashu.60 | 12th May, 2016, 05:22: AM

Expert Answer:

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

Answered by Vimala | 12th May, 2016, 07:58: AM