Уравнение, часть С. . Created by SashaKrasic. algebra-ru

Уравнение, часть С. ...

SashaKrasic @SashaKrasic

August 2022 1 21 Report

Уравнение, часть С.

Answers & Comments

kalbim

Verified answer

а) (1/25)^(sin^2(x)) = 5^(-2sin^2(x))
25^((sin2x)/2) = 5^(sin2x) = 5^(2*sinx*cosx)
5^(cos2x) = 5^(1-sin^2(x))
5^(1-2sin^2(x)) + 4*5^(1-2sin^2(x)) = 5^(2*sinx*cosx)
5^(2-2sin^2(x)) = 5^(2*sinx*cosx) -
т.к. равны основания степени, значит показатели степени тоже равны:
2-2sin^2(x) = 2*sinx*cosx
1 - sin^2(x) = sinx*cosx
sin^2(x) + cos^2(x) - sin^2(x) = sinx*cosx
cos^2(x) = sinx*cosx
cosx*(cosx - sinx) = 0
1) cosx = 0, x=pi/2 + pi*k
2) sinx=cosx, tgx=1, x=pi/4 + pi*k
б) x [0.5; 3pi/2]
k=0, x=pi/2, x=pi/4
k=1, x=pi/2+pi = 3pi/2, x=pi/4+pi = 5pi/4
Ответ: pi/2, pi/4, 5pi/4, 3pi/2

3 votes Thanks 2

Answers & Comments

Verified answer

najti uglovoj koefficient k esli pryamaya zadana uravneniem x 5y 30

(-cos 20)...

raskrojte skobki upotrebiv glagol v formu past continuous vnutri

skazhite pozhalujsta artikl a v dannom predlozhenii dolzhen byt edinstvennym

min2 b 210k pri temperature nagrevatelya 1300k pribor avtomaticheski otklyuchae

odin ostryj ugol na 26 gradusov bolshe drugogo najdite bolshij ugol

ch najdite srednyuyu skorost avtomobilya na protyazhenii vsego puti0d896657fca8ae29e0821332fa17a1aa 47706

pozhalujsta pomogite reshit hot chto nibud iz etogo spiska spasibo

sin 49 gradusov

reshite uravnenie z3 125 0 v mnozhestve kompleksnyh chisel

рекомендуемые вопросы

Helpful Links

Helpful Social