[" Prove that "sec((3 pi)/(2)-theta),sec(theta-(5 pi)/(2))],[,+tan((5 pi)/(2)+theta)tan(theta-(3 pi)/(2))=-1]

Prove that: "sec"((3pi)/2-theta)"sec"(theta-(5pi)/2)+t a n((5pi)/2+theta)"tan"(theta-(3pi)/2)=-1.

Prove that: "sec"((3pi)/2-theta)"sec"(theta-(5pi)/2)+t a n((5pi)/2+theta)"tan"(theta-(3pi)/2)=-1.

Prove that sec((3pi)/2-theta)sec(theta-(5pi)/2)+tan((5pi)/2+theta)tan(theta-(3pi)/2)=-1

Prove that sec((3pi)/2-theta)sec(theta-(5pi)/2)+tan((5pi)/2+theta)tan(theta-(3pi)/2)=-1

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

Prove that tan ((pi )/(4) + (theta )/(2) ) + tan ((pi )/(4) - (theta)/(2)) = 2 sec theta.

Prove that tan(pi/4+theta/2)=sec theta+tan theta

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

Prove that tan((pi)/(4)+theta)-tan((pi)/(4)-theta)=2tan2theta .

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