Specify the variant with the derivative of the sinx function, (1)/(cosx) C -cosx -(1)/(cosx) C cosx

To find the derivative of the function \( \sin(x) \), we use the standard rule for differentiating trigonometric functions. The derivative of \( \sin(x) \) with respect to \( x \) is:<br /><br />\[ \frac{d}{dx} \sin(x) = \cos(x) \]<br /><br />So, the correct answer is:<br /><br />\[ \cos(x) \]<br /><br />Therefore, the correct variant is:<br /><br />\[ \cos(x) \]