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In any triangle A B C , prove that: (b-c...

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

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To prove that \(\frac{b-c}{b+c} = \frac{\tan\left(\frac{B-C}{2}\right)}{\tan\left(\frac{B+C}{2}\right)}\) in triangle \(ABC\), we can follow these steps: ### Step 1: Use the Law of Sines According to the Law of Sines, we have: \[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} = k \] where \(k\) is a constant. ...
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RD SHARMA-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-Solved Examples And Exercises
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  2. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

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  12. In any triangle A B C , prove that following : (a-b)/(a+b)=(tan((A-B)/...

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  13. In any triangle A B C , prove that following : (a-b)cos(C/2) = csin((A...

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  14. In any triangle A B C , prove that following : c/(a-b)=(tan(A/2)+tan(B...

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  15. In any triangle A B C , prove that following : c/(a+b)=(1-tan(A/2)tan(...

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  16. In any triangle A B C , prove that following :(a+b)/c=(cos((A-B)/2))/(...

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  17. In any triangle A B C , prove that following: sin((B-C)/2)=(b-c)/acosA...

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

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  19. In any triangle A B C , prove that following: \ bsinB-csinC=asin(B-C)

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  20. In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2...

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