Answer:
- cos(2Ф) = cos²(Ф) -sin²(Ф)
- cos(2Ф) = 1 -2sin²(Ф)
- cos(2Ф) = 2cos²(Ф) -1
Step-by-step explanation:
The angle sum formula for cosine is ...
cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
When we have α = β = Ф, this becomes ...
cos(Ф+Ф) = cos(Ф)cos(Ф) -sin(Ф)sin(Ф)
cos(2Ф) = cos²(Ф) -sin²(Ф)
The "Pythagorean identity" can be used to write this in terms of sine or cosine.
cos(2Ф) = (1 -sin²(Ф)) -sin²(Ф)
cos(2Ф) = 1 -2sin²(Ф)
or
cos(2Ф) = cos²(Ф) -(1 -cos²(Ф))
cos(2Ф) = 2cos²(Ф) -1
Standard form is
ax+by=c
where a and b and c are integers
and a is normally positivie
y+1/5=3x
minus 3x both sides
-3x+y+1/5=0
minus 1/5 both sides
-3x+y=-1/5
times -5 both sides
15x-5y=1
not listed
Keywords:
<em>Expression, simplified, property, distributive
</em>
For this case we have an expression of the form
that was simplified to the expression
. They ask us to indicate which property was used to simplify the expression.
We have that, by definition, the distributive property states that:

So:
is an example of the distributive property.
Answer:
This is an example of the property distributive
Option C
They hiked about 4.7 times as far or it could also be 4 7/10 times as far
Answer:

Step-by-step explanation:
(1,5) & (2,4)
or -1
y-5=-1(x-1)
y-5=-1x+1
y=-1x+6