Предмет: Алгебра, автор: easyanswer

70 баллов!

1) sinx=a^2-1

2)0.5-sin(11p/12)


Mirage86: what's the question?
kiselevaanastasia12: sin(x)=a^2-1
kiselevaanastasia12: 2-1 это вся степень?
easyanswer: Нет, а во второй степени
Mirage86: no 1-sqrt2-sqrt3/2

Ответы

Автор ответа: Mirage86
2

I hope this helps you

Приложения:

Mirage86: but i don't understand what you want
Mirage86: ask again but completely
easyanswer: tg(9p/8)-1=
=tg((p/8)+p)-1=-tg(p/8)-1<0
answer: minus

It's answers other variant, but tasks are similar, it can help you
Mirage86: check now please
easyanswer: I need a solution of another example (0.5-sin(11p/12))
the answer should be something like I wrote above in the comments (where I wrote a similar example and its solution)
Mirage86: ok i add it again
easyanswer: i hope, it's will be true
Mirage86: I'm sure my answers:)
Mirage86: are correct :)
easyanswer: thanks)
Автор ответа: oganesbagoyan
0

task/29655181

1. sinx = a² - 1        Уравнение  имеет решение , если

- 1  ≤ a² - 1  ≤ 1 ⇔ 0 ≤ a² ≤ 2  ⇔  - √2 ≤ a ≤ √2    * * * a ∈  [ - √2;  √2 ]

x =( -1)⁻ⁿ arcsin(a² - 1 ) + πn ,  n ∈ ℤ .

* * * a ∈ ( - ∞ ; - √2) ∪ (√2 ; ∞) → нет решения  x ∈ ∅  * * *

2.  0,5 - sin(11π/12) =0,5 - sin(π -π/12) = 0,5 - sin(π/12) = 0,5*( 1 - √(2 -√3) ) ,  т.к.

sin(π/12) =  √[ ( 1 -cos(π/6) ) /2]  =  0,5√(2 -√3)  

* * * √(2 -√3) =√( 2(4  - 2√3) / 4)  = √( 2(√3 - 1)² /4 ) = 0,5 (√3 - 1)√2   * *



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