Sin(13π/8) , is in quadrant IV so the angle will be negative, find the reference angle.
<span>sin(13π/8) = -sin(16π/8 - 13π/8) = -sin(3π/8) = -cos(4π/8 - 3π/8) = - cos(π/8). </span>
<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>
<span>-cos(π/8) = -√((√(2) + 2) / 4)</span>
The theorem does not apply.
1. Set the function f(x)=sqrt(x-1) equal to 0 to find what values of x make f(x) defined. So:
x - 1 is < or = to 0
x > or = to 0
2.) find the values where x is defined:
x - 1 > or = to 0
x > or = to 0
Domain = all values of x that define f(x)
[1,infinity)
{x|x> or = to 1}
DNE because 1 is not in the domain because (1-1)^1/2 = 0.
-- 24 is a factor of itself and every multiple of 24 .
There are an infinite number of them.
-- 24 is a multiple of each of its factors.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 .
If the answer is not in integer form, I put it in decimal
2. 5
3. 11
4. 13
5. 15
6. 2.82842712
7. 24
8. 8
9. 20
10. 100.01499887
11. 10
12. 7
13. 4i
14. i√83
15. i√2163
16. 15.58845726
17. i58.59180830
18.i3.60555127
19. i6
20. 0
hard work!
The ages of the Stars are the most dispersed from the team’s mean
<h3> Which statement is right?</h3>
Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data.
Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion.
In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true
To know more about standard deviation follow
brainly.com/question/475676