Students in this video, let's learn how to find the angle between two lines.
All right, now let's take two lines.
We have Y is equal to and one, X plus C one and Y is equal to M2 X plus C two.
All right.
Now, what is M1?
It's the slope of line one.
Right.
And what is M2 is the slope of line two.
Now you can find the angle between the two lines using this formula.
Let t to be the angle between the two lines then then of data will be equal to more of one minus M2
divided by one plus M1 m2.
Now over here is the angle between the lines.
Let's take an example.
Say it's given that Y is equal to root three X plus five, that is one line and we have one more line.
That is why is equal to one birute three X plus eleven.
Now we need to find the angle between these two lines.
All right.
So Tante will be equal to more of M one minus M2 by one plus and one M2.
That is equal to room three minus one by three, divided by one plus room three in two, one bedroom
three.
Now all this simplifies to two Beirut three divided by two.
Right.
So Tanta is equal to two Beirut three divided by two which is equal to one.
Beirut three.
Now you can check more on this in the section and technology.
It's something that we have to learn that santita is equal to one Beirut three when data is equal to
thirty degree.
So using this formula, we have found that the angle that is theta between nine Y is equal to rule three,
X plus five and Y is equal to one BIRUTE three, X plus five is equal to thirty degrees.
So let's quickly revise.
If you are given two lines, you need to find the two slopes by converting the given equation of the
line into this form.
That is why is equal to IMEX policy.
After getting the two slopes, you can find Tanty using the Formula One minus M2 by one plus and one
M to remember.
What you get over here is Santita right?
That's the slope.
Now you need to convert this to Peter to get the angle and using that for that you need to use trigonometry.