We have been given that
and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
![\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
![\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}](https://tex.z-dn.net/?f=%5Ctext%7Bcot%7D%3D%5Cfrac%7B%5Ctext%7BAdjacent%7D%7D%7B%5Ctext%7BOpposite%7D%7D)
Now we will find adjacent side using Pythagoras theorem as:
![\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2](https://tex.z-dn.net/?f=%5Ctext%7BAdjacent%7D%5E2%3D%5Ctext%7BHypotenuse%7D%5E2-%5Ctext%7BOppoiste%7D%5E2)
![\text{Adjacent}^2=13^2-12^2](https://tex.z-dn.net/?f=%5Ctext%7BAdjacent%7D%5E2%3D13%5E2-12%5E2)
![\text{Adjacent}^2=169-144](https://tex.z-dn.net/?f=%5Ctext%7BAdjacent%7D%5E2%3D169-144)
![\text{Adjacent}^2=25](https://tex.z-dn.net/?f=%5Ctext%7BAdjacent%7D%5E2%3D25)
Let us take positive square root on both sides:
![\text{Adjacent}=5](https://tex.z-dn.net/?f=%5Ctext%7BAdjacent%7D%3D5)
Therefore, adjacent side of angle A is 5 units.
![\text{cot}(A)=\frac{5}{12}](https://tex.z-dn.net/?f=%5Ctext%7Bcot%7D%28A%29%3D%5Cfrac%7B5%7D%7B12%7D)
Therefore, the exact value of cot A is
.
Add 40 plus 32, it equals 72 because he wrote 40 popular songs and 32 songs.
Twelve hours later then we went to sleep and then woke me back at my house after my birthday and I got invited
Answer:
0.1025641026
Step-by-step explanation:
-8/12×-2/13
=16/156
=0.1025641026
The value of the MN is 2 according to the assumption on the number line.
According to the statement
We have to find that the value of the MN with the help of the value of the x.
So, For this purpose, we know that the
A number line is a horizontal line that has equally spread number increments.
Now,
Assuming that L, M, and N are points on a number line with L < M < N,
According to the assumption, the equation become
4x + x+1 = 6
5x +1 =6
5x =5
x = 1.
Now, the value of the MN become:
MN = x + 1
MN = 1 + 1
MN = 2.
So, The value of the MN is 2 according to the assumption on the number line.
Learn more about number line here
brainly.com/question/4727909
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