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: 3 seconds
Step-by-step explanation:
Answer:
7. <K = <R
8. PR = JK
9. <A = <X
10. TX = AB
For question 7, find the angle that looks the most similar to the angle in the question.
For question 8, since the sides (not the hyp.) are equal, PR will be equal to any of those two.
For question 9, the triangles are positioned differently, but it is the angle with two angle lines on it.
Lastly, for question 10, TX will be the same length as the shortest side in the corresponding triangle.
Answer:
x=5
Step-by-step explanation:
Formulate and substitute:d=4v
Rearrange unknown terms to the left side of the equation: 4x=27-7
Calculate the sum or difference: 4x=20
Divide both sides of the equation by the coefficient of variable: x=20÷4
Calculate the product or quotient: x=5
So the Answer is: x=5
Answer:
the area is 20 in
Step-by-step explanation:
3 times 4 is 12. since we used 3 inches out of the 11, we can only multiply the 8 inches with 1. 8 times 1 is 8. 12+8=20.