if tan(a+b)=3tana prove sin(2a+b)=2sinb
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Ayusha765:
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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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