Given the function f(x) = 1 - cos x and the points A(/2, f(/2)), B(/2 + 0.05,

Question:

Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 + 0.05, f(π/2 + 0.05)), C(π/2 + 0.5, f(π/2 + 0.5)), and D(p, f(p)) (see figure), find the slopes of the secant lines through A and D, A and C, and A and B. Then use your calculations to make a conjecture about the slope of the line tangent to the graph of f at x = π/2.

УА 2- y = 1- cos x 4. A + 0.5 + 0.05 elea