" I0.If "y=cosec theta+cot theta" ,prove that "2(dy)/(d theta)+y^(2)+1=0" ."

if y=cos ec@+cot theta, prove that 2(dy)/(d theta)+y^(2)+1=0

If x =a cot theta , y=b cosec theta ,then (dy)/(dx)=

If x=cosec theta-sin theta and y=cosec^(n)theta-sin^(n) theta , prove that, (x^(2)+4)((dy)/(dx))^(2)=n^(2)(y^(2)+4) .

x=sec theta-tan theta, y=cosec theta+cot theta, then

If (cosec theta - cot theta)=2 , the (cosec theta +cot theta) is equal to

If x=sec theta - tan theta, y = cosec theta + cot theta then prove that xy+x-y+1=0 .

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 .

Prove that cot 2 theta + tan theta = cosec 2 theta

x = a cosec theta + b cot theta and y= a cosec theta - b cot theta show that [ (x+y)/a ]^2 -[ (x-y)/b]^2 =4

If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ) , then