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In a triangle ABC, 2ca sin frac(A-B+C)(2...

In a triangle ABC, `2ca sin frac(A-B+C)(2)`=

A

`a^2+b^2-c^2`

B

`c^2+a^2-b^2`

C

`b^2-c^2-a^2`

D

`c^2-a^2-b^2`.

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In a triangle ABC, tan frac (A)(2)=5/6, tan frac (C)(2)=2/5 , then :

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

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Statement I: If in a triangle ABC, sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angles must be 90^(@). Statement II: In any triangle ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

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