stuff.

So, first of all: “α” stands for alpha.

M = tan α : m= slope of a line and α = angle of inclination

tan 2α = B / A-C finds the angle of inclination for a conic.

Ex1 Find the inclination of -3x + 6y = 12.
Step 1: Solve this equation for y.

When you do so, you get y = (1/2) x = 12

Step 2: Use the formula for a line : m =tan α
tan α = (1/2)
arctan(inverse of tan): α= (1/2)
^ plug into calculator

Step 3:
plot where tan is positive and negative (1^st quadrant and 3^rd quadrant)
So α = 26.565 , to get the third quadrant’s value, add 180, so quadrant 3 = 206.565
convert to minutes degrees and seconds:
26 degrees 33 minutes and 54 seconds , 206 degrees 33 minutes and 54 seconds.

Tah dah, and it is complete.