Given:
f(x) = sin(x)
g(x) = cos(x).
Note that because sin²x + cos²x = 1, the value for f²+g² should be equal to 1.
Create the table shown below.
x f² g² f² + g²
-------- ---------- ----------- ------------
-π 0 1 1
-0.8π 0.3455 0.6545 1
-0.6π 0.9045 0.0955 1
-0.4π 0.9045 0.0955 1
-0.2π 0.3455 0.6545 1
0 0 1 1
0.2π 0.3455 0.6545 1
0.4π 0.9045 0.0955 1
0.6π 0.9045 0.0955 1
0.8π 0.3455 0.6545 1
π 0 1 1
A sketch is shown in the figure below.
Answer:
159/day
Step-by-step explanation:
Answer:
Step-by-step explanation:
Each signal unit cubes are 1 cm to each side
the dimensions of the large cube is 4 by 6 by 3 width height and depth
a) volume of the cube Vol = area of the base times height
area of the base = the width times the depth
Volume = Base Depth
= Width x Depth x Height
= 4 x 3 x 6
= 12 x 6
Vol = 72 cm ³
b ) the volume of the smaller cuboid has different dimensions
the smaller cube is 2 by 2 by 1 width height and depth
Volume = Base Depth
= Width x Depth x Heigh
= 2 x 2 x 1
Vol smaller cuboid = 4
How many smaller cubes can be made?
The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.
Number of cuboid = Volume of the cube / Volume of the cuboid
= 72 / 4
= 18
Check this answer by dividing the dimension of the cube by the cuboid
4 by 6 by 3
2 by 2 by 1
(4/2) by (6/2) by (3/1)
2 by 3 by 3 = 2 x 3 x 3 = 18
Answer:
The solutions on the given interval are :
Step-by-step explanation:
We will need the double angle identity 
.
Let's begin:
Use double angle identity mentioned on left hand side:
Simplify a little bit on left side:
Subtract 
on both sides:
Factor left hand side:
![\sin(x)[4\cos(x)-1]=0](https://tex.z-dn.net/?f=%5Csin%28x%29%5B4%5Ccos%28x%29-1%5D%3D0)
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:
The first is easy what angles 
are 
-coordinates on the unit circle 0. That happens at and on the given range of 
(this is not be confused with the -coordinate).
Now let's look at the second equation:
Isolate 
.
Add 1 on both sides:
Divide both sides by 4:
This is not as easy as finding on the unit circle.
We know 
will render us a value between and 
.
So one solution on the given interval for x is 
.
We know cosine function is even.
So an equivalent equation is:
Apply 
to both sides:
Multiply both sides by -1:
This going to be negative in the 4th quadrant but if we wrap around the unit circle, , we will get an answer between and .
So the solutions on the given interval are :
Answer:
AYYYYY IREADY! memoriesヾ(≧▽≦*)o
ALright the answer is yes, and she will have $1 left.
