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)

Main Ideas of Hon PreCalc Ch. 4 Class 2 Six Trigonometric Functions 30-60-90 Triangles 45-45-90 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)

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

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

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

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

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