2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You
2. (a) Show from first principles that for the curve y = sinx, where x is in radians, dy = cos x . dx You may use the formula for sin ( AtB) without proof and assume that as h -> 0, cosh-1 sin h ->0 and ->1. [5] h h (b) Identify where in the proof this assumption that x is in radians is needed. [1]
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