TGIE-6+Applications+of+Trig+Equations

= TGIE-6: Applications of Trig Equations =

Angle of Inclination
m=tan a

In this section, you will learn how to find the inclination of a line. You could be given the problem in three different ways:

1) The line contains the points (-1,1) and (4,2): find the angle In this situation, you will find the slope of the line and then plug it into m=tan a; as "m", to find the angle.

2) The line is perpendicular to 10x-5y=20; find the angle. You will have to find the slope but use the opposite reciprocal because it is perpendicular. Then plug it into the original equation to find "a".

3) The angle of inclination is 100 degrees. Use the point (5,-2) and put it in general form. Use the formula y-y1= m(x-x1). If it comes out that "x" is a decimal, multiply the whole equation by 10 because it must be a whole number.

If the slope is positive, the angle will be 0__<__a<90. If the slope is negative, the angle will be 90__<__a<180.

__**Textbook:**__ AM 8.1

__**Websites:**__ [|Applications] [|Inclination and Slope]

Practice Review Problems (All equations should be in general form): Answer: x – y - 10 = 0
 * 1) Inclination = 45 degrees (2, -8)

Answer: 19x + 5y + 39 = 0
 * 1) Inclination = 104.74 degrees (-1, -4)

The line is perpendicular to 3x – 7y = 12. Answer: 113.2 degrees
 * 1) Find the angle of inclination of the line described:

Answer: 4x - y + 17 = 0 media type="file" key="pitkowsky_TGIE-6 period 1.mov" width="390" height="390"
 * 1) Write the equation of the line in general form that has an angle of inclination of 75.96 degrees and passes through (-3, 5).