Math, asked by Mehul25, 1 year ago

if tan(a+b)=3tana prove sin(2a+b)=2sinb

Answers

Answered by Ayusha765
21
refer to the image attached for solution
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Ayusha765: any doubts regarding the solution are welcome
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Answered by ranikumari345
8

Answer:

Step-by-step explanation:

tan (a + b ) = 3 tan a

= tan (a + b) = 3/1

Using Componendo and Dividendo rule

= tan (a + b) + tan a / tan (a + b) - tan a = 3 + 1 / 3 - 1

= Sin (a + b + a) /cos (a + b). Cos a /sin (a+b-a) / cos (a+b).cos a = 4/2

= Sin(2a + b)/sin b = 2

= Sin (2a + b) = 2 sinb

                      Proved

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