If x=2 cos theta- cos 2 theta and y=2 si...

If `x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta,` then `(dy)/(dx)`=

A

`- tan ((3theta)/2)`

B

`cot(theta/2)`

C

`tan ((3theta)/2)`

D

`cot ((2theta)/3)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If x= a(cos theta + sin theta ), y= a(sin theta + cos theta ), then [( d^2 y)/(d x^2 ) ] at theta = pi /4 ............. A) 0 B) 1 C) -1 D) 1/sqrt 2

If x= a sin 2theta (1+ cos 2theta) , y= b cos 2theta(1- cos 2theta) , then (dy)/(dx) =

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x = a cos theta and y = b sin theta , find (dy)/(dx)

If x = a^(2)(sin theta + "cosec" theta) y = a^(2) (sin theta - "cosec" theta) , then (dy)/(dx) =

If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin theta + cos theta ) then (dy)/(dx) at theta =(pi)/(4) is

If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then x ^(2) +4y^(2)= ............... A) 4 B) -4 C) -2 D) 2

If cos theta + sec theta =2 , then sec^(2)theta - sin^(2)theta=