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In any triangle A B C , prove that follo...

In any triangle `A B C` , prove that following: `(a^2-c^2)/(b^2)=(sin(A-C))/(sin(A+C))`

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Let a, b, c be the sides of any triangle A B C. Then by applying the sine rule, we get

`frac{a}{sin A}=frac{b}{sin B}=frac{c}{sin C}=k `

`frac{c}{sin C}=k `

` C=k sin C`

Similarly, `b = k sin B`

And `a=k sin A`

...
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RD SHARMA-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-Solved Examples And Exercises
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