sin 20° + sin 40° - sin 80º =
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=sin60°-sin80°
=-sin20°
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Answer:
Step-by-step explanation:
sin 20° + sin 40° - sin 80°
= sin 40° + sin 20° - sin 80°m; apply sum of sines
= 2 sin 60° cos 20° - sin (60° + 20°); expand compound angle
= 2 sin 60° cos 20° - [sin (60°) cos 20° + cos (60°) sin 20°]
= 2 sin 60° cos 20° - sin (60°) cos 20° - cos (60°) sin 20°
= sin 60° cos 20° - sin (60°) cos 20°
= 0
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