(i)Simplify `tan(pi/4+theta)`

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

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

Prove that (cos2theta)/(1+sin2theta)=tan(pi//4-theta)

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

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

Prove that (costheta)/(1+sintheta)=tan((pi)/(4)-(theta)/(2))

(i)Simplify f(x)=(sin x-cos x)/(x-pi/4) using the substitution theta =x-pi/4

Consider the equation tantheta+sectheta=sqrt3 prove that tan((pi/4)+(theta/2))=sqrt3

Choose the correct answer. Let veca"and"vecb be two unit vectors and theta be the angle between them.Then veca+vecb is a unit vector, if: a) theta=pi/4 b) theta=pi/3 c) theta=pi/2 d) theta=(2pi)/3

(i) Tan (pi/6)=………..