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If sin ( pi cos theta ) = cos ( pi s...

If ` sin ( pi cos theta ) = cos ( pi sin theta)` , then which of the following is correct ?

A

`cos theta = (3 )/(2 sqrt(2))`

B

`cos ( theta - (pi)/(2) )= (1)/( 2sqrt(2))`

C

`cos ( theta - (pi)/(4) )=(1)/( 2 sqrt(2))`

D

`cos ( theta + (pi)/(4))= (-1)/(2 sqrt(2))`

Text Solution

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The correct Answer is:
C
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