Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Answer:
sqrt(2) sqrt(5) sqrt(2) sqrt(5)
Step-by-step explanation:
sqrt(2) sqrt(5) sqrt(2) sqrt(5)
We know sqrt(a) sqrt(b) = sqrt(ab)
sqrt(2*2) sqrt(5*5)
sqrt(4) sqrt(25)
2 * 5
10
This is a rational number
Answer:
(-3,-4)
Step-by-step explanation:
R x axis means to reflect over the x axis and if you reflect point be over the x axis then the new points would be (-3,-4)
Well we know that Kevin is 12p3 and Jake is 4p5.
Can you tell me what it means by 12p3 and 4p5?
<h3>7 students in one group </h3><h3>may it's helpful</h3>