Question

What formula gives the x coordinate of the maximum value for y=cos(x)

Answer 1

Hints:
cos(x) has a maximum at x=0.
It is also a periodic function with a period of 2pi.

Answer 2

The given Trigonometric function is

y = Cos (x)

As the maximum value of Cosine (Theta) is 1. i.e

Maximum value of Cos (x) = 1

Cos (x) = cos (0 or 2 π)

If Cos (x) = Cos A

Then General formula for evaluating x is ,

x = 2 n π $\pm$ A, for n =......-3,-2,-1,0,1,2,3,4,5.....

Here, A= 0, so the value of x is =2 n π $\pm$ 0

x= 2 n π