Final answer:
To find the equation of the tangent line to the graph of the given function at a given point, first find the derivative of the function. Then substitute the x-coordinate of the point into the derivative to find the slope of the tangent line. Finally, use the slope and the coordinates of the point to write the equation of the tangent line using the point-slope form.
Step-by-step explanation:
To find the equation of the tangent line to the graph of the function y = 1/4cos(x) at a given point, we need to find the derivative of the function first. The derivative of y = 1/4cos(x) is dy/dx = -1/4sin(x). Next, we substitute the x-coordinate of the given point into the derivative to find the slope of the tangent line. Finally, we use the slope and the coordinates of the given point to write the equation of the tangent line using the point-slope form: y - y1 = m(x - x1).