Which formula gives the x-coordinates of the maximum values for y = cos(x)?

1 answer:

8 0

You must remember that the periodicity of the function cos(x) is 2Pi. Also you should know that the maximum value of cos(x) is obtained when x = 0. So, the values of x for which cos(x) is maximum is x =0, 2Pi, 4 Pi, 6 Pi. <span>So, x = Pi * k, with k = 0, 2, 4, 6, ... An equivalent formula is x = 2Pi * n, with n = 0, 1, 2, 3, ..</span>

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Refer to attached table

Answer - $\frac{1}{16} (42-x)$ (In miles)

EXPLANATION

We know that distance traveled is calculated by multiplying average speed by total time.

According to the table,
Uphill average speed = $\frac{1}{12}$ (in miles per minute)
Uphill travel time = x (in minutes)
Total distance uphill = $\frac{1}{12} x$ (In miles)

The same way,
Downhill average speed = $\frac{1}{16}$ (in miles per minute)
Downhill travel time = 42 - x
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