Question

70 баллов!

1) sinx=a^2-1

2)0.5-sin(11p/12)

Answer 1

I hope this helps you

Answer 2

ok i add it again

Answer 3

i hope, it's will be true

Answer 4

I'm sure my answers:)

Answer 5

are correct :)

Answer 6

thanks)

Answer 7

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   * *