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Some summed sin and cos (Posted on 2009-09-28) Difficulty: 2 of 5
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.

  Submitted by K Sengupta    
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Solution: (Hide)
NE = 81, DG= 39, AE = 21

SH= 40, AH= 20, NH = 80

RR= 66, TS= 54, R= 6

ST= 45, ET= 15, OT= 75

Substituting the digits 0123456789 (in this order) for the corresponding letters, we get: HEADSTRONG.

For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsSecret Revealed (spoiler)Steve Herman2009-09-29 01:01:35
Solutioncomputer solutionCharlie2009-09-28 18:57:28
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