If A-B-C- prove that sin 2A - sin 2B - sin 2C - 4sin A sin B sin C

If A+ B+C =π , C = π (A+B) sin #160; C = sin #160; (A+B) and cos #160; C = cos (A+B) sin #160; 2A + sin #160; 2B +sin #160; 2 ...

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General Solution of Trigonometric Equation

If A+B+C=π,...

Question

If $A + B + C = π$ , prove that $sin 2 A + sin 2 B + sin 2 C = 4 sin A sin B sin C$

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Solution

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A + B + C = π

sin 2 A + sin 2 B + sin 2 C = 4 sin A sin B sin C

If : a+b+c=pie

then prove that : sin2A+sin2B+sin2C= 4sinAsinBsinC

A + B + C = π

{sin}^{2} A + {sin}^{2} B + {sin}^{2} C = 2 + 2 cos A \cdot cos B \cdot cos C

A + B + C = π

sin 2 A + sin 2 B + sin 2 C = 4 sin A . sin B . sin C

Δ A B C

sin 2 A + sin 2 B + sin 2 C = 4 sin A sin B sin C

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