Ответ:
Объяснение:
cos(510°)-sin(1200°)-tg(1050°)=
=cos(360°+150°)-sin(360°*3+120°)-tg(360°*3-30°)
=cos(150°)-sin(120°)-tg(-30°)=
=cos(150°)-sin(120°)+tg(30°)=
=(-√3/2)-(√3/2)+√3=-√3+√3=0
cos(510°) - sin(1200°) - tg(1050°) = cos(360°+ 150°) - sin(3·360°+120°) -
- tg(3·360° - 30°) = cos(150°) - sin(120°) - tg(-30°) = cos(180° - 30°) - sin(90° +
+ 30°) + tg(30°) = -cos(30°) - cos(30°) + tg(30°) = -2cos(30°) + tg(30°) =
= -2·((√3)/2) + (1/√3) = -(√3) + ((√3)/3) = -2·(√3)/3
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Answers & Comments
Ответ:
Объяснение:
cos(510°)-sin(1200°)-tg(1050°)=
=cos(360°+150°)-sin(360°*3+120°)-tg(360°*3-30°)
=cos(150°)-sin(120°)-tg(-30°)=
=cos(150°)-sin(120°)+tg(30°)=
=(-√3/2)-(√3/2)+√3=-√3+√3=0
cos(510°) - sin(1200°) - tg(1050°) = cos(360°+ 150°) - sin(3·360°+120°) -
- tg(3·360° - 30°) = cos(150°) - sin(120°) - tg(-30°) = cos(180° - 30°) - sin(90° +
+ 30°) + tg(30°) = -cos(30°) - cos(30°) + tg(30°) = -2cos(30°) + tg(30°) =
= -2·((√3)/2) + (1/√3) = -(√3) + ((√3)/3) = -2·(√3)/3