Question

If y=a(1-cos theta) and x =a(theta +sin theta),then find the value of dy/dx at theta =pi/2

Answer 1

y = a (1 – cos θ) 

x = a ( θ + sinθ) 

dy/dθ = a (0 -(-sinθ)) = a sin θ 

dx/dθ = a (1+cos θ) 

dy/dθ divided by dx/dθ = sin θ/ 1+cosθ 

At θ = π/2 

dy/dx = 1/1+0 

dy/dx = 1

Answer 2

Hope this answer helps you ^_^ !