8-1 Angle of Inclination

This week I am going to teach you how to find the angle of inclination. The steps are the same as in section 7-6. Remember, the steps are:
1. Isolate the trig function
2. Take the inverse of the trig function, sin^-1(arcsin), cos^-1(arccos), etc.
3. Either use your trig chart or plug into your calculator to find the answer. *only use the positive value*
4. Use the quadrants to find the right angle measures. You determine which quadrants the different angles are in by using the formulas for the different trig functions.
What is different in this section is that you actually use steps one and two. The formula for angle of inclination of a line is m=tan(alpha), m is the slope. The formula for angle of inclination of a conic is 2d=B/A-C.
Example: 3 cos (theta)=1
1. Cos (theta)=1/3
2. Theta=cos^-1 (1/3)
3. This gives you 70.529 degrees
4. -70.529 degrees+ 360 degrees=289.471 degrees
Then you convert that to degrees minutes and seconds, which gives you:
Theta=70 degrees 31’ 44” and 289 degrees 28’ 15”
That is your final answer.
-Braxton-