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The Curve x=510cos2t,y=tant(12cos2t)x = 5 - 10 \cos ^ { 2 } t , y = \tan t \left( 1 - 2 \cos ^ { 2 } t \right)

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The curve x=510cos2t,y=tant(12cos2t)x = 5 - 10 \cos ^ { 2 } t , y = \tan t \left( 1 - 2 \cos ^ { 2 } t \right) cross itself at some point (x0,y0)\left( x _ { 0 } , y _ { 0 } \right) . Find the equations of both tangent lines at that point.


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The state or quality of being intricate, complicated, or detailed.

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The process of distributing and delegating power away from a central authority in organizations or systems.

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