Question

Find angle between rodius vector
and tangent
​

Answer 1

The tangent line to the curve r = f(θ) makes an angle of ψ with respect to the radial line at the point of tangency, and an angle φ with respect to the x-axis. Proof: • Consider φ = θ +ψ. Then r = f(θ) is given in polar coordinates by x = rcosθ, y = rsinθ, (1) with associated derivatives given by.

Answer 2

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Refer the attachment