For any acute angle `theta`; Prove (i) tan `theta` = sin`theta`/cos`theta` (ii) cot `theta` = cos `theta`/sin`theta`

Prove that sec theta + tan theta = (cos theta)/(1-sin theta)

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove that (sin theta - 2 sin^(3) theta)/(2 cos^(3) theta - cos theta) = tan theta

Prove that :(sin theta+sin3 theta+sin5 theta)/(cos theta+cos3 theta+cos5 theta)=tan3 theta

Prove that: sec theta + tan theta = (cos theta)/(1-sin theta) .

Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cos ec theta

Prove : (sec theta+tan theta)(1-sin theta)=cos theta .

Prove that (cos theta-sin theta+1)/(cos theta+sin theta-1)=csc theta+cot theta

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).