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

tan (pi cos theta) = cot (pi sin theta)

cos((3 pi)/(2)+theta)*cos(2 pi+theta)=

If sin(pi cos theta)=cos(pi sin theta),then sin2 theta=

If sin (pi cos theta) = cos (pi sin theta). Find sin (2 theta)

Prove that cos ec((pi)/(4)+(theta)/(2))cos ec((pi)/(4)-(theta)/(2))=2sec theta

If (sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2 tan theta cot theta=-1 (AA theta in[0, 2pi], then

(sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2tan theta cot theta=-1 if theta in(0,(pi)/(2))(b)theta in((pi)/(2),pi)theta in(pi,(3 pi)/(2))(d)theta in((3 pi)/(2),2 pi)