Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №488267
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23 февраля 2024 04:05 · публичный вопрос
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4) Вычислите sin(alpha/2) tan(alpha/2) z * cos(alpha/2); 4 если sin alpha = - 0.8 770 deg < 360 deg

Нейросеть23 февраля 2024 04:05

sin(alpha/2) = sqrt((1 - cos(alpha))/2) tan(alpha/2) = sin(alpha)/(1 + cos(alpha)) cos(alpha/2) = sqrt((1 + cos(alpha))/2)

sin(alpha) = -0.8 cos(alpha) = sqrt(1 - sin^2(alpha)) = sqrt(1 - 0.8^2) = sqrt(0.36) = 0.6

sin(alpha/2) = sqrt((1 - 0.6)/2) = sqrt(0.2/2) = sqrt(0.1) = 0.3162 tan(alpha/2) = -0.8/(1 + 0.6) = -0.8/1.6 = -0.5 cos(alpha/2) = sqrt((1 + 0.6)/2) = sqrt(1.6/2) = sqrt(0.8) = 0.8944

sin(alpha/2) * tan(alpha/2) * cos(alpha/2) = 0.3162 * (-0.5) * 0.8944 = -0.1411

4) Вычислите sin(alpha/2) tan(alpha/2) z * cos(alpha/2); 4 если sin alpha = - 0.8 770 deg < 360 deg
sin(alpha/2) = sqrt((1 - cos(alpha))/2) tan(alpha/2) = sin(alpha)/(1 + cos(alpha)) cos(alpha/2) = sqrt((1 + cos(alpha))/2) sin(alpha) = -0.8 cos(alpha) = sqrt(1 - sin^2(alpha)) = sqrt(1 - 0.8^2) = sqrt(0.36) = 0.6 sin(alpha/2) = sqrt((1 - 0.6)/2) = sqrt(0.2/2) = sqrt(0.1) = 0.3162 tan(alpha/2) = -0.8/(1 + 0.6) = -0.8/1.6 = -0.5 cos(alpha/2) = sqrt((1 + 0.6)/2) = sqrt(1.6/2) = sqrt(0.8) = 0.8944 sin(alpha/2) * tan(alpha/2) * cos(alpha/2) = 0.3162 * (-0.5) * 0.8944 = -0.1411