Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associa
1 answer:
Given:
Solution:
Here, we need to find the property illustrated by this equation.
It the given equation, we write (x+y) as (y+x).
According to the Commutative Property of Addition, if a and b are two real numbers, then
It means, Commutative Property of Addition is illustrated by the given equation.
Therefore, the correct option is b, i.e., Commutative Property of Addition.
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Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!