1-2sin^(2)((pi)/(4)+theta)=

Prove that: cos^(2)((pi)/(4)-theta)-sin^(2)((pi)/(4)-theta)=s in2 theta

1- 2 sin ^(2) ((pi)/(4) + theta)=

1- 2 sin ^(2) ((pi)/(4) + theta)= ................. A) cos 2 theta B) - cos 2 theta C) sin 2 theta D) - sin 2 theta

(1-tan^(2)((pi)/(4)-theta))/(1+tan^(2)((pi)/(4)-theta))=sin2 theta

Find the value of the expression 3{sin^(4)((3 pi)/(2)-theta)+sin^(4)(3 pi+theta)}-2{sin^(6)((pi)/(2)+theta)+sin^(6)(5 pi-theta)}

If : sin^(2) ((pi)/(4) + (theta)/(2)) - cos^(2) ((pi)/(4) + (theta)/(2))= A) sin theta B) cos theta C) sin 2 theta D) cos 2 theta

If theta in ((pi)/(2), (3pi)/(2)), then the value of sqrt(4 cos ^(4) theta + sin ^(2) 2 theta) + 4 cot theta cos ^(2) ((pi)/(4) -(theta)/(2)) is .............. A) -2 cot theta B) 2 cot theta C) 2 cos theta D) 2 sin theta

I : If sin((pi)/(4)cot theta)=cos ((pi)/(4)tan theta) then theta = n pi+pi//4, n in Z II : If tan ((pi)/(2)sin theta)=cot((pi)/(2)cos theta) then sin (theta + (pi)/(4))= pm (1)/(sqrt(2))

Prove that sin ^(2) ((pi)/(8) + (theta)/(2)) - sin ^(2) ((pi)/(8) - (theta)/(2)) = sin ""(pi)/(4) sin theta.

(1+sin theta)/(1-sin theta)=tan^(2)((pi)/(4)+(theta)/(2))