2. The equation of the normal to the curve y = sin x at (0, 0) is
(a) x = 0
(b) y = 0
(c) x + y = 0
(d) x – y = 0
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Given that, y = sin x
Hence, dy/dx = cos x
Thus, the slope of the normal = (-1/cos x)x =0 = -1
Therefore, the equation of the normal is y-0 = -1(x-0) or x+y=0
Hence, the correct solution is option c
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