So you can do this multiple ways, I'll do this the way that I think makes sense the l most easily.
Cos (0) = 1
Cos (pi/2)=0
Cos (pi) =-1
Cos (3pi/2)=0
Cos (2pi)=1
Now if you multiply the inside by 4, the graph oscillates more violently (goes up and down more in a shorter period).
But you can always reduce it.
Cos (0)= 1
Cos (4pi/2) = cos (2pi)=1
Cos (4pi) =Cos (2pi) =1 (Any multiple of 2pi ==1)
etc...
the pattern is that every half pi increase is now a full period as apposed to just a quarter of one. That's in theory.
Now that you know that, the identities of Cosine are another beast, but mathematically.
You have.
Cos (2×2t) = Cos^2 (2t)-Sin^2 (2t)
Sin^2 (t)=-Cos^2 (t)+1..... (all A^2+B^2=C^2)
Cos (2×2t) = Cos^2 (t)-(-Cos^2 (t)+1)
Cos (2×2t)= 2Cos^2 (2t) - 1
2Cos^2 (2t) -1= 2 (Cos^2(t)-Sin^2(t))^2 -1
(same thing as above but done twice because it's cos ^2 now)
convert sin^2
2Cos^2 (2t)-1 =2 (Cos^2 (t)+Cos^2 (t)-1)^2 -1
2 (2Cos^2(t)-1)^2 -1
2 (2Cos^2 (t)-1)(2Cos^2 (t)-1)-1
2 (4Cos^4 (t) - 2 (2Cos^2 (t))+1)-1
Distribute
8Cos^4 (t) -8Cos^2 (t) +1
Cos (4t) =8Cos^4-8Cos^2 (t)+-1
Create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 Which measure of center wo
JulijaS [17]
The measure of center that would best describe a typical value of the data set is a mean since the values are close.
<h3>What is a measure of center?</h3>
It should be noted that the measure of center include the mean, median, mode, and the mid-range.
In this case, when there is a close distribution of different numbers, he beta measurement will be the mean.
Therefore, the mean of the numbers will be:
= (20 + 21 + 21 + 25 + 20 + 23 + 27 + 23 + 24 + 25 + 26 + 24 + 23 + 22 + 24)/15
= 348/15
= 23.2
Learn more about measure of center on:
brainly.com/question/2639005
Cost of 1 plant = $ p
Cost of 4 plants = $(4p)
Cost of a 10-gallon tank = $10
Cost of a water dish = $3
Total cost = 4p + 10 + 3 = 4p + 13
33 / 84 ( these digits divide by 3 first we get)
11 / 28 ( after this there is no number from which we can divide these numbers again so)
11 / 28 is the final answer
Answer:
1 2/9
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−112÷−92
Applying the fractions formula for division,
=−11×22×−9
=−22−18
Simplifying -22/-18, the answer is
=129
