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 sin(picostheta)=cos(pi sintheta),t h e n sin2theta=

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

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

i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picostheta)=cot(pisintheta) , then prove that: cos(theta-pi/4)=1/(2sqrt(2))

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

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