perplexus.info :: Numbers : Some summed sin and cos

Some summed sin and cos (Posted on 2009-09-28)

Substitute each of the capital letters in bold by a different digit from 0 to 9 to satisfy this system of equations. All the angles are in degrees and none of the numbers can contain any leading zero.

cos NE + cos DG = cos AE, and:
sin SH + sin AH = sin NH, and:
cos RR + cos TS = cos R, and:
sin ST + sin ET = sin OT.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Secret Revealed (spoiler)

Comment 2 of 2 |

Well, Charlie did all the work and I get to collect the glory. I notice that in Charlie's solution,

0123456789 = HEADSTRONG.

Surely not a coincidence.

Posted by Steve Herman on 2009-09-29 01:01:35

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info