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If x=a(theta+sintheta) and y=a(1-costhet...

If `x=a(theta+sintheta)` and `y=a(1-costheta)`, find `dy//dx`.

A

`(sintheta)/(1+costheta)`

B

`(costheta)/(1+sintheta)`

C

`(1+costheta)/(sintheta)`

D

`(sintheta)/(1-costheta)`

Text Solution

Verified by Experts

The correct Answer is:
1
`(dx)/(d theta)=a(1+costheta),(dy)/(d theta)=a(0+sintheta)`
`(dy)/(dx)=(dy)/(d theta)//(d theta)/(dx)=(asintheta)/(a(1+costheta))`
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