(Prove that):
sin 80° - cos 110° = root 3 sin 50°
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Step-by-step explanation:
sin 80° = sin (50 + 30)°
= sin 50° cos 30° + sin 30° cos 50°
= sin 50 √3 /2 + cos 50°/2
cos 110° = cos (50 + 60)°
= cos 50° cos 60° - sin 50° sin 60°
= cos 50° / 2 - sin 50° √3/2
sin 80° - cos 110°
= sin 50° √3/2 + cos 50° /2 - cos 50°/2 + sin 50° √3/2
= √3 sin 50°
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