Question: Show that the curve r = sin tan (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote.

Show that the curve r = sin θ tan θ (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. Show also that the curve lies entirely within the vertical strip 0 ≤ x < 1. Use these facts to help sketch the cissoid.

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