perplexus.info :: Just Math : Inconsiderable Integer Illation

Inconsiderable Integer Illation (Posted on 2014-11-16)

Determine the minimum value of a positive integer N, satisfying:

           cos 96^o + sin 96^o
tan 19N^o = -----------------
           cos 96^o - sin 96^o

See The Solution Submitted by K Sengupta

Rating: 5.0000 (2 votes)

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Hint

| Comment 8 of 10 |

Numerator of RHS

= V2* (sin 96*cos45 + cos96*sin 45)

= V2*sin(96+45)

Denominator of RHS

= V2* (cos96*cos45 - sin 96*sin 45)

= V2*cos(96+45)

.... do I need to go on?

Edited on November 17, 2014, 7:32 am

Posted by K Sengupta on 2014-11-17 07:31:21

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