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CBSE Class 10 Answered

if tan(a+b)=1 and tan(a-b)=1/root 3 find the values of a and b
Asked by poshi.mails | 07 Mar, 2019, 07:42: PM
answered-by-expert Expert Answer
tan (a+b ) = 1  , hence  a+b = 45°  ...................(1)
tan (a - b) = 1/√3 , hence  a-b = 30° .....................(2)
 
By adding eqn.(1) and (2), we get 2a = 75°  or a = 37.5°
 
if we substitute a = 37.5° in eqn.(1), we get b = 7.5°
Answered by Thiyagarajan K | 07 Mar, 2019, 11:20: PM
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