If `sin (picostheta) = cos (pisintheta)` , then show that, `theta = +-1/2sin^(-1)(3/ 4)`

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

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

If sec theta-cos ec theta=(4)/(3) then show that theta=(1)/(2)sin^(-1)((3)/(4))

If sin theta- cos theta=0 then show that sin^4 theta+cos^4 theta=1/2

If tan(picostheta)=cot(pisintheta) , then cos(theta-(pi)/(4))=pm(1)/(2sqrt(2)) .

I tan(picostheta)=cot(pisintheta), then cos(theta-pi/4) is (A) 0 (B) 1/(2sqrt(2) (C) 1/sqrt(2) (D) none of these

If 7sin^(2)theta+3cos^(2)theta=4 then show that tan theta=(1)/(sqrt(3))