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 sec^(2) theta + cosec^(2) theta = sec^(2) theta * cosec^(2) theta

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

Prove that cosec^(2) theta + sec^(2) theta = cosec^(2) theta sec^(2) 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 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 theta=cot ^(4) theta-tan ^(4) theta

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

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 2sec^2theta-sec^4theta-2 cosec^2theta+cosec^4theta=cot^4theta-tan^4theta