perplexus.info :: Just Math : Find the real number

Find the real number (Posted on 2024-04-25)

Determine the possible real value of n such that:

Arctan(1/3)+Arctan(1/4)+Arctan(1/5)+Arctan(1/n)= Arctan(1)

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required value of n is 47.
For an explanation, refer to the analytical solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Computer solution (spoiler)	Kenny M	2024-04-26 18:00:44
re: Computer solution (spoiler)	Jer	2024-04-26 09:10:52
Analytical solution	Jer	2024-04-26 08:51:44
computer solution	Charlie	2024-04-26 07:39:18
Computer solution (spoiler)	Kenny M	2024-04-26 04:59:59

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