Consider the curve defined parametrically by x(t) = cos(t), y(t) = sin(t), te [0, π] (a) For what value of t does the tangent line to the curve have slope 1. (Enter an exact value. Type pi for π.) t= (b) What is the location of this point on the curve in xy-coordinates? (Enter an exact value. Type sqrt(a) for √a.) (x, y) = (

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