Find the derivative of the constant function f(x) = sin(pi/3).

Model Answer & Options

Source: Extra Practice

cos(pi/3)

1/2

0

sqrt(3)/2

Explanation

Even though it looks like a trigonometric function, sin(pi/3) is a constant value (sqrt(3)/2). The derivative of any constant with respect to x is always 0. Option A is a common trap where students differentiate the sine part without realizing it's a constant. Options B and D are just values of trig functions, not derivatives.

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