" Prove that "cosec((pi)/(4)+(theta)/(2))cosec((pi)/(4)-(theta)/(2))=2sec theta

csc((pi)/(4)+(theta)/(2))csc((pi)/(4)-(theta)/(2))=2sec theta

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

Prove that cosec^(2) theta + sec^(2) theta = cosec^(2) theta sec^(2) theta .

Prove that: ("cosec"theta)/("cosec"theta-1)+("cosec"theta)/("cosec"theta+1)=2sec^(2)theta

Prove that (sin(3pi-theta)cos(theta- pi/2)tan((3pi)/(2)-theta))/(cosec((13pi)/(2)+theta)sec(3pi+theta)cot(theta- pi/2))=cos^(4)theta

Prove that identify: (cosec^(2)theta)/(cosectheta-1)-(cosec^(2)theta)/(cosectheta+1)=2sec^(2)theta

Prove that (cosec^(2)theta+sec^(2)theta)/(cosec^(2)theta-sec^(2)theta)=(1+tan^(2)theta)/(1-tan^(2)theta)

Prove that: sec^(2)theta+csc^(2)theta>=4

Match the following . {:((1) tan(pi/4+theta)-tan(pi/4-theta)=,(a) 1),((b)tan(pi/4+theta)+cot(pi/4+theta)=,(b)4sec^(2)2theta),((c)tan(pi/4+theta).tan(pi/4-theta)=,(c)2sec2theta),((d)cosec^(2)(pi/4+theta)cosec^(2)(pi/4-theta)=,(d)2tan2theta):}

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