Can anyone prove this please?
#{(b^2-c^2)//a^2} xx sin 2A +
{(c^2-a^2)//b^2}xx sin 2B +
{(a^2-b^2)//c^2} xx sin 2C# =0
3 Answers
Use the sine law for triangles and some simple trigonometric identities.
Explanation:
From the sine law of triangles
we can easily see that
So that
The other two terms can be obtained from this one by simply cyclically permuting
Please see below.
Explanation:
The first term of
Similarly The second term
The third term
Whole
Note that
Kindly refer to the Explanation.
Explanation:
Prerequisites : In the usual Notation for
Sine-Rule :
Cosine-Rule :
We have,
Obtaining similar expressions for the remaining terms of the left
member and adding them, the result follows.