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S(1) : If tan p theta = cot q theta " ...

`S_(1) ` : If `tan p theta = cot q theta " then " theta = ((2 n + 1) pi)/( p (P + q)), n in Z`
`S_(2)` : If ` tan (pi sin theta ) = cot (pi cos theta) , " then " sin (theta + (pi)/(4)) = pm (1)/(2 sqrt(2))`

A

Both `S_(1) and S_(2)` are correct

B

`S_(1)` is true, `S_(2)` is false

C

`S_(1) ` is false, `S_(2)` is true

D

neither `S_(1) " nor " S_(2)` is true

Text Solution

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The correct Answer is:
A
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