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If in a triangle A B C , (2cosA)/a+(cos ...

If in a triangle `A B C ,` `(2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a)` , then prove that the triangle is right angled.

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To prove that the triangle ABC is a right-angled triangle given the equation: \[ \frac{2 \cos A}{a} + \frac{\cos B}{b} + \frac{2 \cos C}{c} = \frac{a}{bc} + \frac{b}{ca} \] we will follow these steps: ...
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RD SHARMA-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-Solved Examples And Exercises
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  9. In any triangle A B C , prove that:Delta=(b^2+c^2-a^2)/(4cota) .

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  10. In a triangle A B C ,a=4,b=3,/A=60^@ then c is root of the equation c^...

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  11. In any DeltaA B C ,2(bc cosA+ ca cosB+ab cosC) =

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  13. In a DeltaA B C , if (c+a+b)(a+b-c)=a b , then the measure of angel C...

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  15. In a right angled triangle ABC, write the value of sin^2 A + sin^2 B+ ...

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  19. (sqrt(sinA)-sqrt(sinB))/(sqrt(sinA)+sqrt(sinB)) = (a+b-2sqrt(ab))/(a-b...

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