In any triangle ABC, prove the following:

Let a, b, c be the sides of any triangle ABC. Then by applying the sine rule, we get
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⇒ a = k sin A, b = k sin B, c = k sin C
So by considering the LHS of the given equation, we get
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Substituting the corresponding values from sine rule, we get
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Rearranging we get
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Regrouping this we get
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But

Hence the above equation becomes,
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(by applying sine rule)
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Hence proved
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