`tan(pi/4 + theta) tan (pi/4 -theta)=`

Simplify: tan(pi/4 + theta) tan ((3pi)/4 + theta)

Prove that, tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 theta

Prove the following identities: tan theta tan(pi/3 + theta) tan(pi/3 - theta) = tan 3 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):}

If (sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m) , prove that : tan (pi/4- theta) tan (pi/4- alpha)=m .

tan(pi/4+theta/2)+tan(pi/4-theta/2) is equal to

tan(pi/4+theta)tan((3pi)/4+theta) is equal to

Prove that tan ((pi)/(4) + theta) tan ((3pi)/(4) + theta) = -1

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

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