Ответ:
а) 1
б) 1
Пошаговое объяснение:
tg π = tg 180° = 0
sin 3π/2 = sin 270° = -1
cos π/2 = cos 90° = 0
sin π = sin 180° = 0
tg π - sin 3π/2 + cos π/2 + sin π = 0 - (-1) + 0 + 0 = 1
Ответ: 1.
б) sin 240° =
cos 150° =
sin 240° + cos 150° =
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Answers & Comments
Ответ:
а) 1
б) 1
Пошаговое объяснение:
tg π = tg 180° = 0
sin 3π/2 = sin 270° = -1
cos π/2 = cos 90° = 0
sin π = sin 180° = 0
tg π - sin 3π/2 + cos π/2 + sin π = 0 - (-1) + 0 + 0 = 1
Ответ: 1.
б) sin 240° =![-\frac{\sqrt{3} }{2} -\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
cos 150° =![-\frac{\sqrt{3} }{2} -\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
sin 240° + cos 150° =![-\frac{\sqrt{3} }{2} - \frac{\sqrt{3} }{2} = - \frac{2\sqrt{3} }{2} = -\sqrt{3} -\frac{\sqrt{3} }{2} - \frac{\sqrt{3} }{2} = - \frac{2\sqrt{3} }{2} = -\sqrt{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20-%20%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%20%3D%20-%20%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B2%7D%20%3D%20-%5Csqrt%7B3%7D)
Ответ: 1.