2 – 2cos^2(x) + (√2)sin(x) = 0. Как найти корни уравнения? Срочно. Created by Infinity8881. algebra-ru

2 – 2cos^2(x) + (√2)sin(x) = 0. Как найти корни уравнения? Срочно...

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2 – 2cos^2(x) + (√2)sin(x) = 0. Как найти корни уравнения? Срочно

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nKrynka Решение
2 – 2cos²(x) + (√2)sin(x) = 0
2 – 2*(1 - sin²x) + (√2)sinx = 0
2 – 2 + 2*sin²x + (√2)sinx = 0
2*sin²x + (√2)sinx = 0
sinx(2sinx + √2) = 0
1) sinx = 0
x₁ = πk, k ∈ Z
2) 2sinx + √2 = 0
sinx = - √2/2
x = (-1)^n * arcsin(- √2/2) + πn, n ∈ Z
x₂ = (-1)^(n + 1) * (π/4) + πn, n ∈ Z

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Answers & Comments

srochno pomogite reshit045ef93d508ec38de46228586d3d8417 77833

kak nazyvaetsya dannaya kislota

2gtili0 reshit neravenstvo srochno 30 ballov

sin18*cos12 + cos18*sin12...

kak uprostit dannoe vyrazhenie dayu 30 ballov gospoda

2 chemu ravno eto vyrazhenie pi na dva vychitaetsya iz alfa ne opechatka

ochen nuzhno reshit pomogited708bc18567ca883ef050347ce6fab69 661

propin na srochno pomogite

40b obyasnite pochemu pervoe vyrazhenie ravnosilno vtoromu

x2x28 nuzhno dva sposoba resheniya uravneniya

рекомендуемые вопросы

Helpful Links

Helpful Social

sin18cos12 + cos18sin12...