Y=2cos3x How do I graph this with labels in radians
1 answer:
Answer:
Linked an image
Step-by-step explanation:
Okay, basically since it is y=2co3x you know that the amplitude is 2, so rather than going to +1 and -1, you now go to +2 and -2. Since it's cosine, you also know that you start at the maximum rather than the intercept, so the starting point is at (0,2).
I'm assuming that you need to graph 2 periods, and to find the periods you divide 2pi/b, so, in this case, 2pi/3
Then lastly you need to find the four points between 0 and 2pi/3, so you divide 2pi/3/4 to get 2pi/12=pi/6
If you have any other questions just comment and I'll respond when I see it.
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Answer:
The given relation R is equivalence relation.
Step-by-step explanation:
Given that:
Where is the relation on the set of ordered pairs of positive integers.
To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.
1. First of all, let us check reflexive property:
Reflexive property means:
Here we need to prove:
As per the given relation:
which is true.
R is reflexive.
2. Now, let us check symmetric property:
Symmetric property means:
Here we need to prove:
As per the given relation:
means
means
Hence true.
R is symmetric.
3. R to be transitive, we need to prove:
means
.... (1)
means
...... (2)
To prove:
To be we need to prove:
Multiply (1) with (2):
So, R is transitive as well.
Hence proved that R is an equivalence relation.