Answer:
d. ![\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
Step-by-step explanation:
1. The first step is calculate the inverse cosine function shown in the exercise and substract this resul with π/2, as following:
![cos^{-1}(\frac{\sqrt{2}}{2})-(\pi/2)=(-\pi/4)](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%28%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29-%28%5Cpi%2F2%29%3D%28-%5Cpi%2F4%29)
2. Then you have that:
![cos(-\pi/4)=\frac{1}{\sqrt{2}}](https://tex.z-dn.net/?f=cos%28-%5Cpi%2F4%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D)
3. Simpliying:
![=\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
Answer:
20.92
Step-by-step explanation:
Given the data:
X : 170, 160, 130, 165, 125
Standard deviation (s) :
s = √Σ((X - m)² / n)
m = mean
n = sample size
Mean , m = Σx/n
m = (170 + 160 + 130 + 165 + 125) / 5
m = 750/5
m = 150
((X - m)² / n - 1)
[(170-150)^2 + (160-150)^2 + (130-150)^2 + (165-150)^2 + (125-150)^2] / (5-1)
= 1750 / 4
= 437.5
s = √437.5
s = 20.9165
s = 20.92
Answer:
(-1,-2.5)
Step-by-step explanation:
dude trust me
The answer is 1,000. Hope this helps!
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z