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:
<h3>♁ Question :</h3>
- Find the distance between ( 5 , -6 ) and ( 3 ,4 ).
<h3>♁
Step by step explanation:</h3>
Let the points be A and B. Now,
- Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
- Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )
Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).
Substitute the actual value of the points into the distance formula and then simplify.
Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.
Remember : ( - ) × ( - ) = ( + )
Add the numbers : 4 and 6
Evaluate the power
Add the numbers : 4 and 100
units
Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is 
units .
And we're done!
Hope I helped!
Have a wonderful time ! シ
~TheAnimeGirl
Answer:
Step-by-step explanation:
There are 6 solutions or zeros here because, according to the Fundamental Theorem of Algebra, the degree of the polynomial dictates how many zeros there are in the polynomial. If we had a 3rd degree polynomial, we would expect to find 3 zeros; if we had a 5th degree polynomial, we would have 5 zeros, etc. The easiest way to factor this is to do it initially by grouping:
then
then
We will factor each set of parenthesis now to get all the zeros. For the first set of parenthesis:
so
so
But since we can't have a negative under the square root, we have to offset it by using the imaginary number i. i-squared = -1, so
x = ±i√5
Those are the first 2 zeros out of 6. Now for the second set of parenthesis:
4x⁴ - 25 = 0. That is the difference between perfect squares, and that factors to this:
(2x² + 5)(2x² - 5)
The first set of parenthesis there:
2x² + 5 = 0 so
2x² = -5 so
x² = -5/2 so
x = ±
Those are the next 2 zeros. We found 4 so far, now we will find the last 2 in the second set of parenthesis above:
so
so
x = ±
In summary, the 6 zeros are as follows:
x = 
, -, , 
, , 
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
