cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
$$$$$$$$$+$$$$=13 $ this is one way
Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.
<h3>
What was the basic principle of Marcus theory?</h3>
- In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
- Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
- Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
- The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.
We want to see how we can model the difference: -8 - 3 + 3
The correct option is D:
"add 3 positive counters and 3 negative counters"
We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.
Now, let's study the math of our expression.
-8 - 3 + 3
Remember that we can perform the operation in any order we want, so we can write this as:
-8 + (-3 + 3)
Notice that the thing inside the parentheses is equal to zero, so we have:
- 8 + (-3 + 3) = -8
So to not change the value, we add 3 and we subtract 3.
Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.
Then the correct option is D.
To learn more about Marcus refer to,
brainly.com/question/23140234
#SPJ1
Answer:
C ( I think so)
Step-by-step explanation:
I hope this helps a bit.
