Найти значение выражения 1) 4cos(-π/3)-tg π/4+2sin(-π/6)-cos π 2)cos 150° 3) sin 8π/3 4)tg 5π/3 5) cos² π/8 - sin² π/8
Найти значение выражения
1) 4cos(-π/3)-tg π/4+2sin(-π/6)-cos π
2)cos 150°
3) sin 8π/3
4)tg 5π/3
5) cos² π/8 - sin² π/8
1) 4cos(-π/3)-tg π/4+2sin(-π/6)-cos π
2)cos 150°
3) sin 8π/3
4)tg 5π/3
5) cos² π/8 - sin² π/8
1 ответ:
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1. x' = 2t/(1+t^2); y' = 1/(1+t^2)
y'/x' = 1/2t
y'(t=1/2) = 1
2. x'=3; y'=2t
y'(t=3) = 2*3/3=2
3. x'(t) = (2 - 2t) / 2sqrt(2t-t^2) = (1 - t) / sqrt(2t - t^2)
y'(t) = 1 / sqrt(1 - (t-1)^2) = 1 / sqrt(2t - t^2)
y'(t=2/3) = 1 / (1 - 2/3) = 3