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)

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Computer solution (spoiler)

| Comment 4 of 5 |

(In reply to Computer solution (spoiler) by Kenny M)

You must have entered something wrong. I cut and pasted the equation in Wolfram Alpha and it returned n=47.

This problem is entirely independent of the angle unit and can be solved by slopes alone.

Posted by Jer on 2024-04-26 09:10:52

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