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....
Given:
Rectangle: 320 x 190
triangle: base: 305
I'm assuming that the unit measure is in miles.
I found a map of Nevada and I figured that the length of the rectangle is serving as the height of the triangle.
Area of the rectangle = Length * width
A = 320 mi x 190 mi
A = 60,800 sq. mi.
Area of a triangle = (height * base) / 2
A = (320 mi x 305 mi) / 2
A = 97,600 sq. mi / 2
A = 48,800 sq. mi.
Total Area = 60,800 + 48,800 = 109,600 square miles.
Answer:
b
Step-by-step explanation:
because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)
So I’m only answering so I can ask you a question
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