Find the derivatives of the functions `r=(coses theta+cot theta)^-1`

Find the derivatives of the functions r=(cos es theta+cot theta)^(-1)

Find the derivatives of the following functions with respect to corresponding independent variables: y = tan(Theta)(sin(Theta) + cos(Theta))

If (tan theta)/(tan theta- tan 3 theta)=1/3 find the value of (cot theta)/(cot theta- cot 3 theta)

(1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

(1)/(cosec theta+cot theta)=cosec theta-cot theta

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

Find the value of (1-cot theta-cos ec theta)(1-tan theta-sec theta)=?

If (tan theta)/(tan theta-tan3 theta)=(1)/(3), find the value of (cot theta)/(cot theta-cot3 theta)

If ("cosec" theta +cot theta)=x find "cosec" theta - cot theta .