Q. 164.3( 3 Votes )

If x = a cos θ +

Answer :

As x = acos θ +bsinθ …(1)


Differentiating x w.r.t θ we get-




…(2)


Similarly we have,


y = a sinθ – b cosθ …(3)


Differentiating y w.r.t θ we get-





…(4)


By chain rule we can write that:



From equation 2 and 4 we have-



From equations 1 and 3, we get-


…(5)



Differentiating both sides w.r.t x –



Using product rule of differentiation, we can write it as-




From equation 5 we can write it as-




Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If y = 3 cos(log Mathematics - Board Papers

If x = t2</sMathematics - Exemplar

If x = a cos θ + Mathematics - Board Papers

If <iMathematics - Exemplar

If y =(tan–1Mathematics - Board Papers

If y = (tan Mathematics - Board Papers

Differentiate <spMathematics - Board Papers

Find<span lang="EMathematics - Board Papers

If y = xx</sMathematics - Board Papers

If x = a cos θ + Mathematics - Board Papers