4cos(π/2-5x) +5sin(3x) +4sinx=0. Created by Time888. algebra-ru

2-5x) +5sin(3x) +4sinx=0...

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August 2022 1 15 Report

4cos(π/2-5x) +5sin(3x) +4sinx=0

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sunnatxoja77

$4cos(\frac{\pi }{2}-5x)+5sin3x+4sinx=0$

по формуле приведения:

$cos(\frac{\pi }{2}-x)=sinx$

$4sin5x+5sin3x+4sinx=0\\4(sin5x+sinx)+5sin3x=0$

преобразовываем сумму в произведение sin5x+sinx

$4*2sin3x*cos2x+5sin3x=0\\8sin3x*cos2x+5sin3x=0\\sin3x(8cos2x+5)=0\\\\\left \{ {{sin3x=0} \atop {8cos2x+5=0}} \right. =>\left \{ {{sin3x=0} \atop {cos2x=-\frac{5}{8} }} \right.$

решаем оба отдельно:

$sin3x=0\\3x=\pi k , k \in Z\\x_1=\frac{\pi k}{3}, k \in Z$

$cos2x=-\frac{5}{8}\\2x=\pm arccos(\frac{5}{8})+2\pi k , k \in Z \ (:2)\\x_2=\pm \frac{arccos(\frac{5}{8}) }{2}+\pi k , k \in Z$

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reshite neravenstvo vo vlozheniib18450da4c4604f67f1f9b20897da4e1 28100

reshite neravenstvo x 4x3x 1

k istochniku eds vnutrennee soprotivlenie r kotorogo ravno 2 om podklyucheny dve

pervyj pyatyj i dvadcat pervyj chleny vozrastayushej arifmeticheskoj progressii obr

4) +3x) +5sin(6x) =-4...

summa dvuh chisel ravna 2 30 ot pervogo chisla sostavlyaet 50 vtorogo chisla naj

reshite neravenstvo 2h5h 7gt3h 1

summa dvuh chisel ravna 4 50 ot pervogo chisla v poltora raza bolshe chem 20 vtor

reshite uravnenie 2h6 6 h 1

pri kakih znacheniyah parametra a tochka a23 lezhit vnutri kruga radiusa 5 s cen

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