One complete of the graph of `y = - cos x` is shown in the Figure. What are the coordinates of the point at which the maximum possible value of y occurs ?

Options

A. `((pi)/(2),0)`
B. `((pi)/(2),pi)`
C. `(pi, 1)`
D. `((3pi)/(2),-1)`

Answer

C

Explanation

The graph of the function `y =-cos x` has `y =-1` at x = 0, y increases to 0 at `x =(pi)/(2), y` continues increasing until it is 1 at `x = pi`, then y decreases to 0 at `x = (3pi)/(2)`, and y continues decreasing until it reaches `-1` again at the end of the cycle at `x = 2pi`. The coordinates of the point where y is a maximum are `(pi, 1)`.