prove this equality

Prove
\sum_{x,y,x}^{}{\sin x \sin y \sin(x-y)+\sin(x-y)\sin(y-z)\sin(z-x)} = 0

JEE 1978

10 Answers

11
Mani Pal Singh ·

=???????[7][7][7][7][7]
question to complete kar lo sir ji

1
skygirl ·

woh middle wala = hoga shayad....

1
Philip Calvert ·

ha wo ) ka shift = to ko bhi lag gaya hai

11
Subash ·

nice deduction philip [3]

62
Lokesh Verma ·

Corrected..

You have to prove that this cyclic sum is zero!

24
eureka123 ·

24
eureka123 ·

62
Lokesh Verma ·

eureka.. that indeed was the question :)

24
eureka123 ·

in my post#8 there is a typing error in last line......

"" apply sinAsinB=1/2 (cos(A-B)-cos(A+B))""
plz cope with me.......[1][1]

24
eureka123 ·

oops then maybe i misinterpreted it for more than 2 hours..........[3][3]

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