Question

Prove that:
sin80 -COS110=√3sin50​

Answer 1

Answer:

Hence Proved

Step-by-step explanation:

• To Prove that
• Sin 80 - Cos 110 = $\sqrt{3}$× Sin 50
• Cos 90+∅ = -Sin ∅
• Sin 80 - Cos 90+20 = $\sqrt{3}$× Sin 50

• Sin 80 -(-Sin 20) = $\sqrt{3}$×Sin 50
• Sin 80 + Sin 20 = $\sqrt{3}$×Sin50
• Sin A +Sin B = 2Sin (A+B)/2Cos(A-B)/2
• 2Sin (80+20)/2Cos (80-20)/2 = $\sqrt{3}$×Sin50
• 2Sin 50Cos 30 = $\sqrt{3}$×Sin50
• Cos 30 = $\sqrt{3}$/2
• 2×$\sqrt{3}$/2×Sin50 = $\sqrt{3}$×Sin50
• $\sqrt{3}$×Sin50 = $\sqrt{3}$×Sin50
• Hence proved