Name the addition property illustrated by each of the following examples:
2 answers:
Answer:
(i) Associative property of addition.
(ii) Commutative property of addition.
(iii) Inverse property of addition.
(iv) Identity property of addition.
Step-by-step explanation:
Associative property of addition: If a, b and c are three number, then
Commutative property of addition: If a and b are two number, then
Inverse property of addition: The sum of a number and its additive inverse (-a) is 0.
Identity property of addition: The sum of a number and identity element 0 is the same number.
By using the above definitions we can say that
(i) A + (B + C) = (A + B) + C is Associative property of addition.
(ii) A + B = B + A is Commutative property of addition.
(iii) A + (−A) = 0 is Inverse property of addition.
(iv) A + 0 = A is Identity property of addition.
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The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
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