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: 0.845
Step-by-step explanation: 1.69 divided by two is 0.845
Answer:
h=1.29 c=0.79
Step-by-step explanation:
HL (It's a right triangle and the hypotenuse and leg are congruent. This can also be thought of as SAS.)
SAS (Side angle side. All congruent.)
SSS (Line AR is shared by both triangles. A line is always congruent on itself. The other two are self explanatory.)
ASA and AAS cannot be used because we can only confidently confirm one angle of each triangle.
Answer:
Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have
She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.
Step-by-step explanation:
