(C) sin(-r) = -a
(D) sin(r) = -a
<u>Explanation:</u>
The unit circle definition allows us to extend the domain of sine and cosine to all real numbers. The process for determining the sine/cosine of any angle θ is as follows:
Starting from (1,0) move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to θ.
- sin θ is equal to the y-coordinate of your point, and
- cosθ is equal to the xxx-coordinate.
In the question, sin(-r) = -a and sin(r) = -a is equal to the x-coordinate, thus they are not correct.
An image is attached for reference.
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Answer:
a) 64
b) 9
c) 1
d) 49
Step-by-step explanation:
8^2 = 64
same as 8*8
1^2 = 1
same as 1*1
3^2 = 9
same as 3*3
7^2 = 49
same as 7*7
Answer:
A. Arithmetic; d = 1.5
Step-by-step explanation:
-4, -2.5, -1, 0.5, 2
Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.
Let's look at common ratios first.
To find the common ratio, divide one term from the term after it.
r = a₂ ÷ a₁
r = -2.5 / -4
Divide.
r = 0.625
To see if this is the common ratio, we want to test this with the other numbers of the sequence.
r = a₃ ÷ a₂
r = -1 / -2.5
r = 0.4
This is not consistent; therefore our sequence is not geometric.
Let's look at common differences next.
To find the common ratio, subtract one term from the term after it.
r = a₂ - a₁
r = -2.5 - (-4)
Simplify.
r = -2.5 + 4
Add.
r = 1.5
To see if this is the common difference, we want to test this with the other numbers of the sequence.
r = a₃ - a₂
r = -1 - (-2.5)
Simplify.
r = -1 + 2.5
r = 1.5
This is consistent; therefore we have found our common difference of this arithmetic sequence.
A. Arithmetic; d = 1.5
Hope this helps!
The difference between the mixed numbers is equal to 5/6.
<h3>How to perform the subtraction between the two mixed numbers?</h3>
A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:
(2 + 1/2) - (1 + 2/3)
We can group the whole numbers and the fractions, so we get:
(2 - 1) + (1/2 - 2/3)
Now we can simplify this so we get:
(2 - 1) + (1/2 - 2/3)
= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6
We conclude that the difference between the mixed numbers is equal to 5/6.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
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