Answer :

Let us assume that f(x) = cos x


Let so that






On differentiating f(x) with respect to x, we get



We know



When, we have.



Recall that if y = f(x) and Δx is a small increment in x, then the corresponding increment in y, Δy = f(x + Δx) – f(x), is approximately given as



Here, and


Δf = (–0.86603)(–0.0873)


Δf = 0.07560442


Now, we have





Thus,


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