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!
Bases+faces=surface area
15.6+81=96.6
Because 1/2*6*9=27*3=81
Answer:
F is reduced by 31%
Step-by-step explanation:
F = 1/(d²)
now, we increase the distance by 20% (multiply by 1.2).
F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =
= 1/1.44 × old F = 0.69 × old F
100 - 69 = 31%
Answer:
-2 and -3
Step-by-step explanation:
Let L represent the large integer and S represent the smaller integer
Given Large Integer = 10 + 4 times Smaller Integer
Mathematically:
L = 10 + 4S -------eq 1
It is also given that the integers are consecutive,
hence L = S + 1------ eq2
Now we can solve a system of equations by substitution.
Substitute eq 2 into eq 1
S + 1 = 10 + 4S (subtract 1 from both sides)
S = 10 - 1 + 4S
S = 9 + 4S (subtract 4S from both sides)
S - 4S = 9
-3S = 9 (divide both sides by -3)
S = 9 / (-3) = -3 (answer)
form equation 2,
L = S + 1
L = -3 + 1
L = -2 (answer)
