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:
c
Step-by-step explanation:
Answer:
1/14
Step-by-step explanation:
change to a common denominator.
3/14 - 2/14 = 1/14
Answer: length = 75 cm
Step-by-step explanation:
61 x 2 = 122
272-122= 150
150 divided by 2 = 75
check: 75+61= 136
136 x 2 = 272
hope this helps!
Answer:
33
Step-by-step explanation:
If you simplify what the question is saying, it's basically..
8 is 24% of <u>what number?</u>
To find out, you can simply set up an equation.
((24% = 0.24 as a decimal (move the decimal point two times to the left))
8 = 0.24 x N (N is just the 'whole')
To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.
The question says to round to the nearest whole number, so the answer would just be 33.