Алгебра: Нужно написать график!

Нужно написать график!

Показать ответ

Ответ:

Hunterxxxx

16.05.2023 06:34

$sin^{2}(x)*(tg(x)+1)=3sin(x)*(cos(x)-sin(x))+3\\sin^{2}(x)*(\frac{sin(x)}{cos(x)} +1)=3sin(x)cos(x)-3sin^{2}(x)+3\\sin^{2}(x)*\frac{sin(x)+cos(x)}{cos(x)}=\frac{3}{2}*sin(2x)-3sin^{2}(x)+3\\\frac{sin^{2}(x)*(sin(x)+cos(x))}{cos(x)}=\frac{3sin(2x)}{2}-3sin^{2}(x)+3\\\frac{sin^{3}(x)+sin^{2}(x)cos(x)}{cos(x)}=\frac{3sin(2x)}{2}-3sin^{2}(x)+3\\\frac{sin^{3}(x)+sin^{2}(x)cos(x)}{cos(x)}-\frac{3sin(2x)}{2}+3sin^{2}(x)=3\\\frac{2(sin^{3}(x)+sin^{2}(x)cos(x))-3cos(x)sin(2x)+6cos(x)sin^{2}(x)}{2cos(x)}=3\\$

$\frac{2sin^{3}(x)+2sin^{2}(x)cos(x)-3cos(x)sin(2x)+6cos(x)sin^{2}(x)}{2cos(x)}=3\\\frac{2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)}{2cos(x)}=3|*2cos(x)\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)=6cos(x)\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)sin(2x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-3cos(x)*2sin(x)cos(x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-6cos^{2}(x)sin(x)-6cos(x)=0\\2sin^{3}(x)+8sin^{2}(x)cos(x)-6(1-sin^{2}(x))sin(x)-6cos(x)=0\\$

$2sin^{3}(x)+8sin^{2}(x)cos(x)-6sin(x)+6sin^{3}(x)-6cos(x)=0\\8sin^{3}(x)+8sin^{2}(x)cos(x)-6sin(x)+6cos(x)=0\\8sin^{2}(x)*(sin(x)+cos(x))-6(sin(x)+cos(x))=0\\2(sin(x)+cos(x))*(4sin^{2}(x)-3)=0\\(sin(x)+cos(x))*(4sin^{2}(x)-3)=0$

sin(x)+cos(x) = 0 или 4sin²(x)-3 = 0

sin(x) = -cos(x) |:cos(x) 4sin²(x) = 3

tg(x) = -1 sin²(x) = 3/4

x₁ = 3π/4 + πn, n∈Z sin(x) = ±√3/2

sin(x) = -√3/2 или sin(x) = √3/2

x₂ = arcsin(-√3/2) + 2πn x₄ = arcsin(√3/2) + 2πn

x₃ = π-arcsin(-√3/2) + 2πn x₅ = π-arcsin(√3/2) + 2πn

x₂ = -π/3 + 2πn x₄ = π/3 + 2πn

x₃ = π+π/3 + 2πn x₅ = π-π/3 + 2πn

x₂ = 5π/3 + 2πn, n∈Z x₄ = π/3 + 2πn, n∈Z

x₃ = 4π/3 + 2πn, n∈Z x₅ = 2π/3 + 2πn, n∈Z

Следовательно:

x₄ = π/3 + 2πn, n∈Z,

x₅ = 2π/3 + 2πn, n∈Z

ответ: x₁ = 3π/4 + πn, n∈Z;

x₄ = π/3 + 2πn, n∈Z;

x₅ = 2π/3 + 2πn, n∈Z

0,0(0 оценок)

Ответ:

Kuprums

11.04.2023 01:56

0 және не знаю как гOTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

OTBET:

the afternoon, learn work

in lunchtime, I eat pizza and drink juice

in night, I watch TV or play mobile games

in weekend, I go to picnicin

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Write the correct preposition, then complete the

sentences for you.

Айару казак тілі ден 7ші тапсымадан 1 жұмбақты 2ші жұмбақты айтшы казак тілі ден 7ші тапсымадан 1 жұмбақты 2ші жұмбақты айтшы казак тілі ден 7ші тапсымадан 1 жұмбақты 2ші жұмбақты айтшы апай Саламатсызба апай Саламатсызба апай Саламатсызба апай Саламатсызба апай

0,0(0 оценок)

Популярные вопросы: Алгебра