Prove the following:`tan(pi/4-theta)=(frac(1-tantheta)(1+tantheta))`

Prove the following: tan2theta+sec2theta=(frac(1+tantheta)(1-tantheta))

Prove the following identities: (frac(tan^3theta)(1+tan^2theta))+(frac(cot^3theta)(1+cot^2theta))=secthetacosectheta-2sinthetacostheta

Prove the following: sqrt(frac(1-cos2theta)(1+cos2theta))=tantheta

Prove the following: ((tantheta+(1)/(costheta))^2+((tantheta-(1)/(costheta))^2=2(frac(1+sin^2theta)(1-sin^2theta))

Select and write the correct answer from the given alternatives in each of the following:If tantheta+frac(1)(tantheta)=2 ,then theta =……….

Prove the following: (frac(1-cos2theta)(1+cos2theta))=tan^2theta

Prove the following identities: (frac(1-sectheta+tantheta)(1+sectheta-tantheta))=(frac(sectheta+tantheta-1)(sectheta+tantheta+1))

Prove the following identities: (frac(tantheta)(sectheta-1))=(frac(sectheta-1)(tantheta))

Prove the following: (frac(sintheta)(1+costheta))=tan(theta/2)

tantheta . Cot theta =