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Prove that:
sin80 -COS110=√3sin50​

User Zaan
by
7.6k points

1 Answer

3 votes

Answer:

Hence Proved

Explanation:

  • To Prove that
  • Sin 80 - Cos 110 =
    √(3)× Sin 50
  • Cos 90+∅ = -Sin ∅
  • Sin 80 - Cos 90+20 =
    √(3)× Sin 50
  • Sin 80 -(-Sin 20) =
    √(3)×Sin 50
  • Sin 80 + Sin 20 =
    √(3)×Sin50
  • Sin A +Sin B = 2Sin (A+B)/2Cos(A-B)/2
  • 2Sin (80+20)/2Cos (80-20)/2 =
    √(3)×Sin50
  • 2Sin 50Cos 30 =
    √(3)×Sin50
  • Cos 30 =
    √(3)/2

  • √(3)/2×Sin50 =
    √(3)×Sin50

  • √(3)×Sin50 =
    √(3)×Sin50
  • Hence proved
User Neil Essy
by
7.9k points

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