1. Main Ideas of Hon PreCalc Ch. 4 Class 1
Positive Negative Angles in X-Y Plane
Radian
Radian – Degree Conversion
70o to radians (leave in terms of 𝜋)
7𝜋 2 to degrees
Quadrants
Arc measure
Complementary and Supplementary Angles (in degrees and radians)
Linear Speed
Angular Speed
Degrees, Minutes, Seconds Conversion (DMS)

2. Main Ideas of Hon PreCalc Ch. 4 Class 2
Six Trigonometric Functions
Triangles
Triangles
Sin, Cos, Tan of Special Angles
Complementary and Supplementary Angles (in degrees and radians)
Cofunctions of complementary angles
sin(90o – ө) = cos(ө)
cos(90o – ө) = sin(ө)
tan(90o – ө) = cot(ө)
sec(90o – ө) = csc(ө)
csc(90o – ө) = sec(ө)
cot(90o – ө) = tan(ө)

3. Main Ideas of Hon PreCalc Ch. 4 Class 3
Six Trigonometric Functions in X-Y Plane, on Unit Circle
Trigonometric Functions for any size Circle
Fundamental Trigonometric Identities
Pythagorean Identities
Applying Trigonometric Identities
Applications

4. Main Ideas of Hon PreCalc Ch. 4 Class 4
Reference Angles
Trigonometric Functions of any Angle
Find Reference Angle
Determine Trig. Functions for that reference angle
Locate correct Quadrant to determine positive or negative sign

5. Main Ideas of Hon PreCalc Ch. 4 Class 5
Graph sin and cos functions: y = a sin bx, y = a cos bx
Identify Amplitude: a
Period = 2𝜋 𝑏
Translations: y = a sin(bx – c) + k
Set (bx – c) = 0 and solve for x (left end of one cycle)
Set (bx – c) = 2𝜋 and solve for x (right end of one cycle)
Locate ¼, ½, and ¾ interval points
Move up or down k units

6. Main Ideas of Hon PreCalc Ch. 4 Class 6
Graph tan function: y = a tan bx
Period = 𝜋 𝑏
Vertical Asymptotes: x= ± 𝜋 2𝑏
Translations

7. Main Ideas of Hon PreCalc Ch. 4 Class 7
Inverse sin, cos, and tan:
sin-1 t = arcsin t
Domain of arcsin and arctan: - 𝜋 2 , + 𝜋 2
Domain of arccos: - 𝜋, + 𝜋