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mslfkfjf
@mslfkfjf
August 2022
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tg5x-ctg3x=0
Решите уравнение)
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жандос2001
Tg5x=sin5x/cos5xtg3x=sin3x/cos3xsin5x sin3x sin5x*cos3x-cos5x*sin3cos5x - cos3x = cos5x*cos3xЧислитель сворачиваем по формуле sin (a-b)=sina *cosb-cosa*sinbsin(5x-3x) cos5x*cos3x = 0cos5x*cos3x \neq 05x \neq arccos0 ,x \neq П/10+Пк/53x \neq arccos0 ,x \neq П/6+Пк/3Числитель равен нулюsin(5x-3x)=0sin2x=02sinx*cosx=0sinx=0 или cosx=0x=Пк или х=П/2+Пк
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