Find the points of horizontal tangency to the polar curve.r = 2 csc(𝜃) + 3 0 ≤ 𝜃 < 2𝜋
Question
Solution 1
To find the points of horizontal tangency to the polar curve r = 2 csc(𝜃) + 3, we need to find the values of 𝜃 for which the derivative of r with respect to 𝜃 is zero.
Step 1: Express r in terms of sin(𝜃) r = 2/sin(𝜃) + 3
Step 2: Differentiate r with respect to 𝜃 dr/d𝜃 = -2cos(𝜃)/sin^2(𝜃)
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