Final answer:
To determine the equation of a tangent line to the function y = sin(x) cos(x), one must find the derivative to get the slope at the given point and use it in the point-slope form of a line equation.
Step-by-step explanation:
To find the equation of the tangent line to the graph of y = sin(x) cos(x) at a given point, you need to determine the slope of the tangent line at that point. The slope of the tangent line is found by taking the derivative of the function with respect to x and evaluating it at the given point.
Once you have the slope (m), you can use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is the point of tangency on the curve. The value of the derivative at the given x-coordinate will give you the slope of the tangent line at that specific point.
However, since the exact point of tangency is not provided in the question, we cannot provide a definitive equation for the tangent line.