Prove that:
`cot theta + tan theta = cosec theta sec theta`.

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(3)theta - "cosec"^(3)theta) = sin^2 theta cos^2 theta

Prove cot theta+tan theta=(cosec theta)(sec theta) by completing the following activity: LHS =cot theta+tan theta =(cos theta)/(sin theta)+(square)/(cos theta) =(square +square)/(sin thetaxx co cos theta) =(square)/(sin thetaxx cos theta) =1/(square)xx1/(square) =cosec thetaxx sec theta =RHS :.cot theta+tan theta=cosec thetaxx sec theta

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

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

tan theta+(1)/(tan theta)=sec theta cosec theta

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta

Prove that: (sec theta - cos theta)(cot theta + tan theta) = tan theta sec theta .