[" (1.8) If "sin(pi cos theta)=cos(pi" fin "theta" ,he "n" prove "],[" shat "],[qquad cos(theta+-pi/u)=(1)/(2sqrt(2))quad E_(4)]]

If sin(pi cos theta)=cos(pi sin theta) ,then prove that : theta=(1)/(2)sin^(-1)(3/4)

If tan (pi cos theta)= cot(pi sin theta) , prove that cos (theta-pi/4)= +- 1/(2 sqrt2) .

If sin(pi cos theta) = cos(pi sin theta) , then of the value cos(theta- pi/4) is

(i) If sin(pi/2costheta) = cos(pi/2 sin theta) , show that, +- cos(theta + pi/4) =(4n+1)/sqrt(2) where n= any integer. (ii) If tan(pi cos theta) = cot(pi sin theta) , prove that, cos(theta - pi/4) = (2n+1)/(2sqrt(2)), n=0, -1,1,-2,2 ,............

If sin(pi cos theta)=cos(pi sin theta), then of the value cos(theta+-(pi)/(4)) is

If sin(pi cos theta) = cos(pi sin theta) , then the value of cos(theta+- pi/4) is

If tan (pi cos theta)= cot (pi sin theta) , show that cos (theta-(pi)/(4))=+- (1)/(2sqrt(2))

If sin ( pi cos theta ) = cos (pi sin theta ), , then show that theta =+- (1)/(2) sin ^(-1)""(3)/(4)