Physics

If $$y = sin\theta$$, then for what value of $$\theta$$, the relative error in y is minimum? 


ANSWER

$$90^0$$


SOLUTION
$$y=sin\theta$$. . . . . . . . . . . . (1)
Differentiate with respect to $$\theta$$
$$\dfrac{dy}{d\theta}=cos\theta$$
For minimum , $$\dfrac{dy}{d\theta}=0$$
$$cos\theta =0$$
$$\theta =90^0$$
The correct option is A.
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