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

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

(ii)Find the value of tan(pi/4+theta)tan(pi/4-theta)

If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then the value of k is .

If tan(pi//4 + theta ) + tan (pi//4 - theta ) =3 , " then " tan^(2)(pi//4 + theta ) + tan^(2)(pi//4 - theta ) =

Simplify: tan(pi/4 + theta) tan ((3pi)/4 + 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 tan(pi/4+theta)+tan(pi/4-theta)=a, then tan^(2)(pi/4+theta)+tan^(2)(pi/4-theta)=(a)a^(2)+1 (b) a^(2)+2(c)a^(2)-2(d) none of these

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

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

Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .