` (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2-x))=cot^2x`

(cos(pi-x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^(2)x

Prove that: (a) (cos(pi+x) cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^(2)x (b) cos((3pi)/2 + x)cos(2pi+x){cot ((3pi)/2-x)+cot(2pi+x)}=1

Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi)/(2)+x)=cot^(2)x

Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos((pi)/(2)+x))=cot^(2)x

(cos (pi + x) cos (-x)) / (sin (pi-x) cos ((pi) / (2) -x)) = cot ^ (2) x

If f(x)=3+cos^-1(cos(pi/2+x)cos(pi/2-x)+sin(pi/2+x)sin(pi/2-x)) , x in [0,pi] then find the minimum value of f(x) is

Prove that: cos((3 pi)/(2)+x)cos(2pi+x)[cot((3 pi)/(2)-x)+cot(2 pi+x)]=1

(sin (pi + x) cos ((pi) / (2) + x) tan ((3 pi) / (2) -x) cot (2 pi-x)) / (sin (2 pi-x) cos (2 pi + x) csc (-x) sin ((3 pi) / (2) -x)) = 1