Answer:
Step-by-step explanation:
General Solution
Left hand side
tan(30) + 1 / tan(30
tan^2(30) + 1
============
tan 30
but tan^2(30) + 1 = sec^2(30)
sec^2(theta) / tan(30) Let theta = 30o. This will work for any angle between 0 and 90
Cancel out cos(theta) and one of cos^2(theta)
leaving your with
which is exactly what the right hand side is.
This is the way this problem should be done. If you want to show what happens with 30o then
Thirty degree angle
tan(30) = 0.5774
Left hand side
0.5774 + 1/(0.5774) = 2.3093
Right hand side
1/(sin(30)*cos(30))
1/(0.5 * 0.8660)
1/(0.4330
2.3094
Which is about as close as you will get when you round.
The location of point Y is the point -3 on the number line
Here, we want to find the location of Y
let us say the point 0 represents the origin
The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)
To find the location of Y , we proceed to use the midpoint formula as follows;
Thus, we have;
(-9 + 3)/2 , (0 + 0)/2
= -6/2 , 0
= (-3 , 0)