If
then show that 
[Hint: Use componendo and Dividendo]
To prove: ![]()
Given,
![]()
∵ sin(A+B) = sin A cos B + cos A sin B
∴ ![]()
⇒ ![]()
Applying componendo-dividendo rule, we get –
⇒ ![]()
⇒ ![]()
⇒ ![]()
⇒
{∵ tan A = (sinA)/(cosA)}
⇒ ![]()
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