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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computer solution

| Comment 2 of 5 |

clc

for k=-10:10

n=1/tan(atan(sym(1))-atan(1/sym(3))-atan(1/sym(4))-atan(1/sym(5))+k*sym(pi));

n=simplify(n)

end

finds only multiple copies of the integer 47. Perhaps there's some rounding error in Wolfram Alpha.

Posted by Charlie on 2024-04-26 07:39:18

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