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If tan( pi cos theta) = cot ( pi sin the...

If `tan( pi cos theta) = cot ( pi sin theta)` then `sin (theta + pi/4) ` equals

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If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

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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))