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Trignometry
ankita
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4 Jul 2008 01:17:53 IST
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if ,tan alfa=m/(m+1), tan beta=1/(2m+1) then prove alfa+beta=pie/4
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if ,tan alfa=m/(m+1), tan beta=1/(2m+1) then prove alfa+beta=pie/4


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SUNDEEP ALLAMRAJU's Avatar

SUNDEEP ALLAMRAJU
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4 Jul 2008 10:07:52 IST
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Just write tan(a+b) which is m(2m+1)+(m+1)/(m+1)(2m+1)-m=2m2+2m+1/2m2+2m+1=1 which means a+b=npi+pi/4.

Here,a=alfa and b=beta.The principal value of a+b is pi/4.
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edison
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Joined: 19 Oct 2006
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4 Jul 2008 16:38:18 IST
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Use the identity

tan (A + B) = (tan A + tan B )/ ( 1 - tan A tan B)
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shabnam
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4 May 2012 17:54:45 IST
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if ,tan alfa=m/(m+1), tan beta=1/(2m+1) then prove alfa+beta=pie/4
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