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Dayan15
@Dayan15
July 2022
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cos 687°+cos(-393°)-cos(-507°)-cos(-573°)=?
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Universalka
Verified answer
Cos687° + Cos(- 393)° - Cos(- 507)° - Cos(- 573)° = Cos(720° - 33°) +
+ Cos(360° + 33°) - Cos(360° + 147°) - Cos(720° - 147°) =
= Cos33° + Cos33° - Cos147° - Cos 147° = 2Cos33° - 2Cos147° =
= 2Cos33° - 2Cos(180° - 33°) = 2Cos33° + 2Cos33° = 4Cos33°
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Answers & Comments
Verified answer
Cos687° + Cos(- 393)° - Cos(- 507)° - Cos(- 573)° = Cos(720° - 33°) ++ Cos(360° + 33°) - Cos(360° + 147°) - Cos(720° - 147°) =
= Cos33° + Cos33° - Cos147° - Cos 147° = 2Cos33° - 2Cos147° =
= 2Cos33° - 2Cos(180° - 33°) = 2Cos33° + 2Cos33° = 4Cos33°