trigonometry

Question: In any triangle ABC ,${{\sin }^{2}}\frac{A}{2}+{{\sin }^{2}}\frac{B}{2}+{{\sin }^{2}}\frac{C}{2}$ is equal to



1) $1-2\,\cos \frac{A}{2}\cos \frac{B}{2}\cos \frac{C}{2}$
2) $1-2\,\sin \frac{A}{2}\cos \frac{B}{2}\cos \frac{C}{2}$
3) $1-2\,\sin \frac{A}{2}\sin \frac{B}{2}\sin \frac{C}{2}$
4) $1-2\,\cos \frac{A}{2}\cos \frac{B}{2}\sin \frac{C}{2}$
Solution: Explanation: No Explanation
Maximum & minimum values of trigonometric functions Conditional trigonometric identities

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