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....
If i’m understanding what your saying to find the factors of 12 and 15 you would multiply a number till you get a (factor) of 15 for example 3x5=15 and 2x6=12.There are many different multiplication problems that will help you get the same factor
Answer:
it will be 12 your welcome :)
Step-by-step explanation:
The answer is between 97 and 86.
The estimated answer is 89
Height of the lamp post is 2.5 ft.
<u>Step-by-step explanation:</u>
AB = lamp post
CD = Julia
CE = Shadow
AC = 2 ft , CE = 5 ft , ∠AEB = 20°
AE = AC+ CE = 2+ 5 = 7 ft
Considering ABE as a right triangle, we can write the tan ratio as,
tan ∠AEB = opp/adj = AB/AE
AB = AE × tan ∠AEB
= 7 × tan 20°
= 2.5 ft
So, height of the lamp post is 2.5 ft.
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