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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.3 The Slope and the Tangent Line, #29 · Calculus · Derivatives

A ball goes around a circle: …,

A ball goes around a circle: $x = cos t$ , $y = sin t$ . At $t = 3 π /4$ the ball flies off on the tangent line. Find the equation of that line and the point where the ball hits the ground ( $y = 0$ ).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.3 The Slope and the Tangent Line, #29

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