Answer: Option B, Option C, Option E
Step-by-step explanation:
The options written correctly, are:
![A)x = cos^{-1}(\frac{a}{c})\\\\B) x = sin^{-1}(\frac{c}{b})\\\\C)x = tan^{-1}(\frac{c}{a})\\\\D) y = sin^{-1}(\frac{a}{c})\\\\ E)y = cos^{-1}(\frac{c}{b})](https://tex.z-dn.net/?f=A%29x%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7Ba%7D%7Bc%7D%29%5C%5C%5C%5CB%29%20x%20%3D%20sin%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Bb%7D%29%5C%5C%5C%5CC%29x%20%3D%20tan%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Ba%7D%29%5C%5C%5C%5CD%29%20y%20%3D%20sin%5E%7B-1%7D%28%5Cfrac%7Ba%7D%7Bc%7D%29%5C%5C%5C%5C%20E%29y%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Bb%7D%29)
For this exercise you need to use the following Inverse Trigonometric Functions:
![1)\ sin^{-1}(x)\\\\2)\ cos^{-1}(x)\\\\3)\ tan^{-1}(x)\\\\](https://tex.z-dn.net/?f=1%29%5C%20sin%5E%7B-1%7D%28x%29%5C%5C%5C%5C2%29%5C%20cos%5E%7B-1%7D%28x%29%5C%5C%5C%5C3%29%5C%20tan%5E%7B-1%7D%28x%29%5C%5C%5C%5C)
When you have a Right triangle (a triangle that has an angle that measures 90 degrees) and you know that lenght of two sides, you can use the Inverse Trigonometric Functions to find the measure of an angle
:
![1)\alpha = sin^{-1}(\frac{opposite}{hypotenuse}) \\\\2)\ \alpha =cos^{-1}(\frac{adjacent}{hypotenuse})\\\\3)\ \alpha=tan^{-1}(\frac{opposite}{adjacent})](https://tex.z-dn.net/?f=1%29%5Calpha%20%3D%20sin%5E%7B-1%7D%28%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%29%20%5C%5C%5C%5C2%29%5C%20%5Calpha%20%3Dcos%5E%7B-1%7D%28%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%29%5C%5C%5C%5C3%29%5C%20%5Calpha%3Dtan%5E%7B-1%7D%28%5Cfrac%7Bopposite%7D%7Badjacent%7D%29)
Therefore, the conclusion is that the angles "x" and "y" can be found with these equations:
![x=sin^{-1}(\frac{c}{b})\\\\x= cos^{-1}(\frac{a}{b})\\\\x=tan^{-1}(\frac{c}{a})\\\\\\ y=sin^{-1}(\frac{a}{b})\\\\y=cos^{-1}(\frac{c}{b})\\\\y=tan^{-1}(\frac{a}{c})](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Bb%7D%29%5C%5C%5C%5Cx%3D%20cos%5E%7B-1%7D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5C%5C%5C%5Cx%3Dtan%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Ba%7D%29%5C%5C%5C%5C%5C%5C%20y%3Dsin%5E%7B-1%7D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5C%5C%5C%5Cy%3Dcos%5E%7B-1%7D%28%5Cfrac%7Bc%7D%7Bb%7D%29%5C%5C%5C%5Cy%3Dtan%5E%7B-1%7D%28%5Cfrac%7Ba%7D%7Bc%7D%29)
Answer:
is the second answer 2x+1/x-1
Answer:
I'm not quite sure what your question is.
Answer: ( Min = 0 ,
,
,
, Max = 10 )
Step-by-step explanation:
Given : A random sample of 11 days were selected from last year's records maintained by the maternity ward in a local hospital, and the number of babies born each day of the days is given below:
3 7 7 10 0 7 1 2 5 3 0
We first arrange them in increasing order , we get
0 0 1 2 3 3 5 7 7 7 10
Here , N= 11
Now , we can see that
Minimum value = 0
Maximum value = 10
First quartile
= ![(\dfrac{N+1}{4})^{th}\ term=(\dfrac{12}{4})^{th}\ term = 3^{rd} term =1](https://tex.z-dn.net/?f=%28%5Cdfrac%7BN%2B1%7D%7B4%7D%29%5E%7Bth%7D%5C%20term%3D%28%5Cdfrac%7B12%7D%7B4%7D%29%5E%7Bth%7D%5C%20term%20%3D%203%5E%7Brd%7D%20term%20%3D1)
Second quartile
= Median = Middlemost number = 3
Third quartile
= ![(\dfrac{3(N+1)}{4})^{th}\ term=(\dfrac{36}{4})^{th}\ term](https://tex.z-dn.net/?f=%28%5Cdfrac%7B3%28N%2B1%29%7D%7B4%7D%29%5E%7Bth%7D%5C%20term%3D%28%5Cdfrac%7B36%7D%7B4%7D%29%5E%7Bth%7D%5C%20term)
![= 9^{th} term =7](https://tex.z-dn.net/?f=%3D%209%5E%7Bth%7D%20term%20%3D7)
∴ The required five number summary : ( Min = 0 ,
,
,
, Max = 10 )
Answer:
dddddddddddddddddddd
Step-by-step explanation: