Question

The length of the subtangent to the curve r = f(0) is :

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Answer 1

Step-by-step explanation:

x=c[2cosθ−log(cosecθ+cotθ)]

⇒dθdx=c(−2sinθ+cosecθ)

y=csin2θ

⇒dθdy=2ccos2θ

Also, y1=csin32π=2c3

Slope of tangent at θ=3π is

m=(dxdy)θ=3π=3

Length of tangent =∣my11+m2∣=c

Length of sub-tangent =∣my1∣=2c

Required Sum =c+2c=