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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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
Secret Revealed (spoiler)	Steve Herman	2009-09-29 01:01:35
computer solution	Charlie	2009-09-28 18:57:28

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