[" (7) Prove that: "],[qquad cos((3 pi)/(2)+theta)cos(2 pi+theta)],[[cot((3 pi)/(2)-theta)+cot(2 pi+theta)]=1]

cos ((3pi)/(2)+theta) cos (2pi+theta) xx [ cot ((3pi)/(2) -theta) + cot (2pi + theta) ] = ?

Prove that: (cos(2 pi+theta)csc(2 pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)cos theta cot(pi+theta))=1

Prove that (cos(pi+theta)cos(-theta))/(cos(pi-theta)cos((pi)/(2)+theta))=-cot theta

Prove that: 2cos theta cos((pi)/(3)+theta)cos((pi)/(3)-theta)=cos3 theta

Prove that: {1+cot theta-sec((pi)/(2)+theta)}{1+cot theta+sec((pi)/(2)+theta)}=2cot theta

Prove that cos theta +cos ((2pi)/(3)-theta)+cos ((2pi)/(3)+theta)=0

Prove that: cos^(2)theta+cos^(2)((2 pi)/(3)-theta)+cos^(2)((2 pi)/(3)+theta)=(3)/(2)

If tan theta=(3)/(4) and theta is not in first quadrant sin(sin((pi)/(2)+theta)-cot(pi-theta))/(tan((3 pi)/(2)-theta)-cos((3 pi)/(2)+theta))=

If tan((pi)/(2) sin theta)=cot((pi)/(2)cos theta) then sin(theta +(pi)/(4))=