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posted by  ingrid_zoe2 on 11/17/2009 4:28:00 PM  |  status: Live  |  Earned Karma: 25

Trigonometric proof

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N/A N/A N/A N/A 11/19/2009 at 8:00:00 AM
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How can I prove that:

   ?
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posted by spookyadrian on 11/17/2009 7:37:52 PM  |  status: Live
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Let x=arctan (120/119)
      y=arctan (1/239)
Then
x-y=π/4
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So,
we need to prove that
tan (x-y)=1
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We shall use the identity,
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Since tan x = 120/119 and tan y = 1/239
---
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So, since tan (x-y)=1,
arctan(120/119) - arctan (1/239)
I am confident with my solutions, but just in case you do find one error, kindly inform me, and I shall call such error a "stupid mistake"
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