State whether the given statement is true or falseIf - - - -then show that sin2- -sin2- -sin2- -2sin-sin-cos-

The correct option is A True sin ^ 2 α +sin ^ 2 β sin ^ 2 γ =sin ^ 2 α +( sin ^ 2 β sin ^ 2 γ #160;) =sin ^ 2 α +sin( β +γ #160;) #160;sin( ...

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Properties of Argument

State whether...

Question

State whether the given statement is true or false
If $α + β - γ = π,$
then show that ${sin}^{2} α + {sin}^{2} β - {sin}^{2} γ = 2 sin α sin β cos γ$ .

True

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False

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Solution

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α + β - γ = π

{sin}^{2} α + {sin}^{2} β - {sin}^{2} γ = 2 sin α sin β cos γ

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{sin}^{2} α + {sin}^{2} β - {sin}^{2} γ = m sin α sin β cos γ

sin 2 (α - β) + sin 2 (β - γ) + sin 2 (γ - α)

= - 4 sin (α - β) sin (β - γ) sin (γ - α)

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