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Consider following two infinite series i...

Consider following two infinite series in real r and 0
`C=1+rcostheta +(r^2costheta)/2! +r^3cos(3theta)/3!+…..`
`S=rsintheta +(r^2sin2theta)/2! +r^3sin3theta/3!+…..`
If `theta` remains constant and r varies then
The expression CdS/dr-SdC/dr is equal to

A

`C^2+S^2`

B

`(C^2+S^2)cos theta`

C

`(C^2+S^2) sin^2theta`

D

CS

Text Solution

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The correct Answer is:
C
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