Main Ideas of Hon PreCalc Ch. 4 Class 1
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Positive Negative Angles in X-Y Plane
Radian
Radian – Degree Conversion
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70o to radians (leave in terms of 𝜋)
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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
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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
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sin(90o – ө) = cos(ө)
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cos(90o – ө) = sin(ө)
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tan(90o – ө) = cot(ө)
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sec(90o – ө) = csc(ө)
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csc(90o – ө) = sec(ө)
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cot(90o – ө) = tan(ө)
Main Ideas of Hon PreCalc Ch. 4 Class 3
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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
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Reference Angles
Trigonometric Functions of any Angle
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Find Reference Angle
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Determine Trig. Functions for that reference angle
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Locate correct Quadrant to determine positive or negative sign
Main Ideas of Hon PreCalc Ch. 4 Class 5
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Graph sin and cos functions: y = a sin bx, y = a cos bx
Identify Amplitude: a
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Period =
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Translations: y = a sin(bx – c) + k
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2𝜋
𝑏
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
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Graph tan function: y = a tan bx
𝜋
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Period = 𝑏
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Vertical Asymptotes: x = ±
Translations
𝜋
2𝑏
Main Ideas of Hon PreCalc Ch. 4 Class 7
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Inverse sin, cos, and tan:
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sin-1 t = arcsin t
𝜋
𝜋
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Domain of arcsin and arctan: - 2 , + 2
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Domain of arccos: - 𝜋, + 𝜋