For how many values of x in the interval 2n<x<5n is cos(2x)=1/2?

A. 6

B. 3

C. 10

D. 1

E. 0


This is one of my college pre cal homework problems and i cant figure it out. This class just moves so fast during the summer. Could you please explain how you got it also! Thanks

Anonymous2011-06-10T21:26:43Z

Favorite Answer

its (A)

first of all it says 2n<x<5n
and it says 2x=1/2

now we need to make the "x" into "2x" in (2n<x<5n)
how? you multiply by 2 on every number.

2(2n)<2(x)<2(5n)
4n<2x<10n

the only number that you gave me between 4-10 is 6


im not sure what was your question but i hope its right.

Anonymous2011-06-11T04:35:38Z

The simplest method would be to look at the graph of (cos2x) along the interval of two pi to five pi and visually count the number of times the equation has a value corresponding to 1/2.