решите уравнение arcsin(2-3x)=pi/6. Created by hrn. algebra-ru

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abduqodirovaziz

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-pi/2 <= pi/6 <= pi/2
2x -3x = 1/2
3x = 1,5
x = 1/2

4 votes Thanks 9

QuasarDreemov

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Arcsin(2-3x), это такой угол, синус которого равен 2-3х. Нам этот угол дан.
Имеем: arcsin(2-3x)=pi/6 <=> sin(pi/6)=2-3x <=> sin30°=2-3x <=> 1/2=2-3x <=> 3x=1,5 <=> x=0,5=1/2.
Ответ: х=1/2.

5 votes Thanks 8

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