= 1 + cos 2 [( 4x - 3 )/ 32 ] ------> [ (a - b) 2 + 2ab = a 2 + b2 ]
= 3/2 + 1/2 cos [ ( 8x - 6 )/ 32]
Now let be the period ,
So we have f( x + ) = 3/2 + 1/2 cos [ ( 8x + 8 - 6 )/32 ]
= f(x)
So we have 8 = 32 . 2
So = 33 / 4 .......Option a is correct.
Hope it reduced some of Bhatt sir's work
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From J.R.R. Tolkien's 'The Lord of the Rings':
All that is gold does not glitter
Not all who wander are lost
The old that is strong does not wither,
Deep roots are not reached by frost.
From ashes a fire shall be woken
From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.