30. Prove that: (i) sin (x + y) sin...
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30. Prove that: (i) sin (x + y) sin (x - y) + sin (y + z) sin (y - z) + sin (z + x) sin (z - x) = 0

JEE/Engineering Exams
Maths
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( 2 sin (n+y) cdot sin (n-y)+frac{+2 sin (y+z)}{2} sin (y-2) ) ( +2 sin (2+n) cdot cos (2-x) ) ( 2 sin A sin B=cos (A-B)-cos (A+B) ) ( =1 quad[cos 2 y=cos 2 x+cos 2 z-cos 2 y ) ( +cos 2 x-cos 2 z ) ( =frac{1}{2} dot{x} 0=0 quad ) humed
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