Respuesta :

Answer:

Hence Proved

Step-by-step explanation:

  • To Prove that
  • Sin 80 - Cos 110 = [tex]\sqrt{3}[/tex]× Sin 50
  • Cos 90+∅ = -Sin ∅
  • Sin 80 - Cos 90+20 = [tex]\sqrt{3}[/tex]× Sin 50
  • Sin 80 -(-Sin 20) = [tex]\sqrt{3}[/tex]×Sin 50
  • Sin 80 + Sin 20 = [tex]\sqrt{3}[/tex]×Sin50
  • Sin A +Sin B = 2Sin (A+B)/2Cos(A-B)/2
  • 2Sin (80+20)/2Cos (80-20)/2 = [tex]\sqrt{3}[/tex]×Sin50
  • 2Sin 50Cos 30 = [tex]\sqrt{3}[/tex]×Sin50
  • Cos 30 = [tex]\sqrt{3}[/tex]/2
  • 2×[tex]\sqrt{3}[/tex]/2×Sin50 = [tex]\sqrt{3}[/tex]×Sin50
  • [tex]\sqrt{3}[/tex]×Sin50 = [tex]\sqrt{3}[/tex]×Sin50
  • Hence proved

Otras preguntas