According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equals k cosine squared (theta )where k is a constant. (a) Write L in terms of the sine function. (b) Why does the maximum value of L occur when thetaequals0?

Step-by-step explanation:

According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by:

(a)We are required to write L in terms of the sine function.

(b)To obtain the maximum value of the function L, we examine its critical points.

The maximum value of L occur when because 0 is a critical point of the function L.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0