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Grade: 12th pass

                        

Find general solution of equation , cox+cos3x+cos5x+cos7x=0

2 years ago

Answers : (1)

Vinit Sancheti
42 Points
							
Cosx + Cos3x + Cos5x + Cos7x = 0
⇒Cosx + Cos7x + Cos3x + Cos5x = 0
⇒2Cos4x.Cos3x + 2Cos4x.Cosx = 0
⇒Cos4x (Cos3x + Cosx) = 0
⇒Cos4x (2Cos2x.Cosx) = 0
⇒Cosx.Cos2x.Cos4x = 0
⇒Cosx = 0 or Cos2x = 0 or Cos4x = 0
⇒x = nπ/8 [Where n can be any integer except multiple of 8]
2 years ago
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