CBSE Class 11-science Answered
prove that..
Asked by | 18 Sep, 2008, 08:23: PM
Expert Answer
we know that tan60o = 3
so we have to prove tan200 tan400tan800=3
write 80 = 60+20 and 40 =60-20
we know tan(A+B) and tan(A-B) .apply them
tan200 tan400tan800 = tan200(3+tan200)(3-tan200) / (1-3tan200)(1+3tan200)
=tan200(3-tan2200) / ( 1-3 tan2200)
=(3tan200-tan3200) / ( 1-3 tan2200)
= tan(3*200 ) = tan600 = 3
hence proved
Answered by | 20 Sep, 2008, 12:04: AM
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