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1 answer:
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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!
Option A and B are correct.
Step-by-step explanation:
We are given the following systems of equation:
We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.
Checking the options:
a) Multiply the second equation by −2 to get −8x − 6y = −30
If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.
b) Multiply the first equation by 2 to get 4x + 12y = 24.
If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.
c) Multiply the second equation by −4 to get −16x − 12y = −60
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
d) Multiply the first equation by −4 to get −8x − 24y = −48.
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
So, Option A and B are correct.
Keywords: Solve System of equations
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