2) If (1+cos α) (1+cos β) (1+cos γ)=(1-cos α) (1-cos β) (1-cos γ) Show that one of the value - Maths - Some Applications of Trigonometry

Question

2) If ( 1 + cos   α )   ( 1 + cos   β )
  ( 1 + cos   γ ) = ( 1 - cos   α )  
( 1 - cos   β )   ( 1 - cos   γ ) Show
that one of the value of each member of this equality is sin  
α   sin   β   sin   γ

Neha Sethi · Accepted Answer

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2) If ( 1 + cos α ) ( 1 + cos β ) ( 1 + cos γ ) = ( 1 - cos α ) ( 1 - cos β ) ( 1 - cos γ ) . Show that one of the value of each member of this equality is sin α sin β sin γ .

2) If $(1 + \cos α) (1 + \cos β) (1 + \cos γ) = (1 - \cos α) (1 - \cos β) (1 - \cos γ) .$ Show that one of the value of each member of this equality is $\sin α \sin β \sin γ .$