Saturday, April 23, 2011

(1 + 2cos(20 °))^n

Find a natural number n for which the expression round (1 + 2cos(20 °))^n is divisible by 1,000,000,000.





***** UPDATE! *****

The function:



Mr. Beefy,
If n = 35

If n = 68




I need to review my work on this. I wanted to express this as a polynomial of cos(x).

I started with the basic identities cos(2x), sin(2x) and cos(3x)

2 comments:

  1. Wouldn't ANY n result in a number divisible by 1,000,000,000?

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  2. n = 35 would have a number in excess of 1,000,000,000; n = 68 would have a number that is a whole number when divided by 1,000,000,000

    ReplyDelete