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CBSE Class 10 Answered

If tan A = 5/6 and tan B = 1/11 , Then (A+B) =?
  1. pie/2
  2. pie/4
  3. 3pie/2
  4. nome of these
Asked by sucharitasahoo1 | 26 Dec, 2017, 06:18: PM
answered-by-expert Expert Answer
begin mathsize 16px style tan left parenthesis straight A plus straight B right parenthesis equals fraction numerator tanA plus tanB over denominator 1 minus tanAtanB end fraction tan left parenthesis straight A plus straight B right parenthesis equals fraction numerator begin display style 5 over 6 end style plus begin display style 1 over 11 end style over denominator 1 minus 5 over 6 cross times 1 over 11 end fraction tan left parenthesis straight A plus straight B right parenthesis equals fraction numerator begin display style fraction numerator 55 plus 6 over denominator 66 end fraction end style over denominator 1 minus begin display style 5 over 66 end style end fraction tan left parenthesis straight A plus straight B right parenthesis equals fraction numerator begin display style 61 over 66 end style over denominator begin display style fraction numerator 66 minus 5 over denominator 66 end fraction end style end fraction tan left parenthesis straight A plus straight B right parenthesis equals fraction numerator begin display style 61 end style over denominator begin display style 61 end style end fraction tan left parenthesis straight A plus straight B right parenthesis equals 1 straight A plus straight B equals 45 degree space or space straight pi over 4 end style
Answered by Sneha shidid | 27 Dec, 2017, 09:36: AM

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