Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

<div><strong>If tan B = 2sinA sinC/ sin (A+C) , show that cotA,cotBand cotC are in A.P .</strong></div>
Asked by Sanjay | 13 May, 2015, 12:20: AM
Expert Answer
tan space B equals fraction numerator 2 sin space A. sin space C over denominator sin space left parenthesis A plus C right parenthesis end fraction rightwards double arrow c o t space B equals fraction numerator sin space left parenthesis A plus C right parenthesis over denominator 2 space sin space A. sin space C end fraction rightwards double arrow c o t space B equals fraction numerator sin space A. cos space C plus sin space C. cos space A over denominator 2 space sin space A. sin space C end fraction rightwards double arrow 2 c o t space B equals fraction numerator sin space A. cos space C over denominator space sin space A. sin space C end fraction plus fraction numerator sin space C. cos space A over denominator sin space A. sin space C end fraction rightwards double arrow 2 space c o t space B equals c o t space C plus c o t space A therefore c o t space B equals fraction numerator c o t space A plus c o t space C over denominator 2 end fraction therefore c o t space A comma space c o t space B space a n d space c o t space C thin space a r e space i n space A P.
Answered by Prasenjit Paul | 13 May, 2015, 10:33: AM
CBSE 11-science - Maths
Asked by soumyadas098h | 02 Nov, 2022, 08:01: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by mishraparveen1234 | 15 Jun, 2022, 04:56: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by karthikeyainuguri2009 | 10 Apr, 2022, 03:01: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sinchanaandavan | 02 Jan, 2022, 12:17: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by vermahiteshi243 | 30 Aug, 2021, 09:53: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by jgftudx6545 | 29 Nov, 2020, 08:00: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by nareshpanchal76 | 07 Oct, 2020, 10:13: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by bandlapravalika4 | 25 Sep, 2020, 01:32: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by apnp31 | 21 Sep, 2020, 12:19: PM
ANSWERED BY EXPERT
Get Free Sample Papers
×