
This is a snapshot of the Content of mathematics for the Fe exam for the Line part based on FE Reference book 10-4
Learn to compute a line's slope from two points and relate intercepts to Ax + By + C = 0 with (0, b) and (-C/A, 0).
Explain how to derive the A, B, C values for the line y = 5x + 6, identify the positive slope, and locate the x- and y-intercepts.
Sine,Cosine ,tan and +ve sign diagram for Angles
Learn how a radian defines a central angle whose intercepted arc equals the circle's radius, and how to convert radians to degrees, including that 1 radian equals 57.272 degrees.
Explore the unit circle of radius 1 centered at the origin, deriving sine and cosine values for common angles (30°, 45°, 60°), and relate angles to radians and arc length.
Graph cos x, mark points 0, pi/2, pi, 3pi/2, show domain real numbers with range [-1,1], and explain cos period 2 pi, amplitude 1, plus sin alpha x periods.
Sum and difference between Angle Identities
Topics included in this Class.
1- Equation For the slope of a Line- Determine A,B &C values in The equation Given By the FE Reference Book. Give examples to simplify the idea.
2- Mathematical relations between slopes of two lines, whether these lines are parallel or Perpendicular.
How to determine the Midpoint of a line.
How to get the length of a line.
3- What are Signs of angles per quarter and unit circle, and can we derive these data?
4- what is one Radian? How do you estimate the corresponding degrees?
5- Relation between Degrees and Radians for an angle.
6-Types of relations between Domain and range, the different relations as one to one, one to many, many to one.
7- Range and domain and What are the graph of Trigonometric functions?
8- How to draw the Graph of sine curve of multiple x values? How do you draw the Graph of the Cosin Curve?
9-What are the Sine Rule and Cosine Rule? how do you solve a Solving triangle? how to estimate the Area?
10- What are the Trigonometric Identities? what is the kind of proof of various Identities?
Full step-by-step explanation, alternative methods used for explanation, accompanied with ca losed caption containing clear mathematical symbols.
The Course includes solved problems and quizzes, and all videos are Closed captions.