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Find the Equation of the Line That Is "Orthogonal" to the Graph

Question 60

Essay

Find the equation of the line that is "orthogonal" to the graph of the function f(t)=sin⁡(t)f ( t ) = \sin ( t ) at the point where t=π2t = \frac { \pi } { 2 } .In other words, find the line perpendicular to the tangent line when t=π2t = \frac { \pi } { 2 } .

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