(Sin2A+sin2b+ sin2c)/SinA+ sinB+sinC = ko hal karke answer bataao
Abhishek agrahari , 5 Years ago
Grade 12
Trigonometry> (Sin2A+sin2b+ sin2c)/SinA+ sinB+sinC = ko...
1 Answers
Arun
Last Activity: 5 Years ago
Dear Abhishek
Writing in step wise,
Taking LHS,
=> (Sin2A+sin2B+sin2C)/(sinA+sinB+sinC)
=2Sin(A+B)Cos(A-B)+2SinC.CosC/2Sin(A+B)/2Cos(A-B)/2+2SinC/2CosC/2
=2Sin C(Cos(A-B)- Cos(A+B))/2Cos(C/2)( Cos(A-B)/2+Cos(A+B)/2)
=2Sin C(2Sin A wrongdoing B/2Cos C/2.2 Cos A/2. Cos B/2
=Sin A. Sin B. Sin C/Cos C/2.Cos A/2. Cos B/2
=8sinA/2sinB/2sinC/2
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