Starting a new Lecture Notes Series on PreCalculus - Trigonometry: Trig Identities
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PreCalculus - Trigonometry: Trig Identities
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Lecture 1: What are the basic trig Identities
Lecture 2: Cofunction Identities
Lecture 3: Simplify the Trig Expression: 1
Lecture 4: Simplify the Trig Expression: 2
Lecture 5: Verify the Identity: 1
Lecture 6: Verify the Identity: 2
Lecture 7: Verify the Identity: 3
Lecture 8: Verify the Identity: 4
Lecture 9: Addition and Subtraction Formulas
Lecture 10: Proof of Addition Formula (Cosine)
Lecture 11: Proof of Subtraction Formula (Cosine)
Lecture 12: Proving the Cofunction Idenity
Lecture 13: Proof of Addition Formula (Sine)
Lecture 14: Proof of Subtraction Formula (Sine)
Lecture 15: Proof of the Addition Formula (Tangent)
Lecture 16: Proof of the Subtraction Formula (Tangent)
Lecture 17: Find sin75,...tan135 (Without a Calculator)
Lecture 18: Proof Using Addition & Subtraction Formulas
Lecture 19: Proof Using Addition & Subtraction Formulas
Lecture 20: Proof Using Addition & Subtraction Formulas
Lecture 21: Proof Using Addition & Subtraction Formulas
Lecture 22: Double Angle Formula: Introduction
Lecture 23: Double Angle Formula Proved: Sine
Lecture 24: Double Angle Formula Proved: Cosine
Lecture 25: Double Angle Formula Proved: Tangent
Lecture 26: Simplifying Triple Angles to a Single Angle
Lecture 27: Formula for Lowering Power cos^2(x)=?
Lecture 28: Formula for Lowering Power sin^2(x)=?
Lecture 29: Formula for Lowering Power tan^2(x)=?
Lecture 30: Proof sin^2(x)=(1-cos2x)/2
Lecture 31: Proof cos^2(x)=(1+cos2x)/2
Lecture 32: Proof Half Angle Formula: sin(x/2)
Lecture 33: Proof Half Angle Formula: cos(x/2)
Lecture 34: Proof Half Angle Formula: tan(x/2)
Lecture 35: Product to Sum Formula 1
Lecture 36: Product to Sum Formula 2
Lecture 37: Sum to Product Formula 1
Lecture 38: Sum to Product Formula 2
Lecture 39: Write sin(2x)cos3x as a Sum
Lecture 40: Write cos4x-cos6x as a Product
Lecture 41: Prove cos^4(x)-sin^4(x)=cos2x
Lecture 42: Prove [sinx+sin(5x)]/[cosx+cos(5x)]=tan3x
Lecture 43: Prove (sinA+sinB)/(cosA+cosB)=tan[(A+B)/2]
Lecture 44: Prove sin(4x)/sinx=4cosxcos(2x)
Lecture 45: Solve cos(theta)+1=0, theta=?
Lecture 46: Solve 3sin(theta)-1=0, theta=?
Lecture 47: Solve tan^2(theta)-4=0, theta=?
Lecture 48: Solve 2sin^2(theta)-sin(theta)-1=0, theta=?
Lecture 49: Solve 2cos^2(theta)-7cos(theta)+3=0, theta=?
Lecture 50: Solve cos(x)sin(x)-2cos(x)=0, x=?
Lecture 51: Solve 3tan(x)sin(x)-2tan(x)=0, x=?
Lecture 52: Solve 3tan^3(theta)=tan(theta), theta=?
Lecture 53: Solve sin(2theta)+cos(theta)=0, theta=?
Lecture 54: Solve sin(theta)+sin(3theta)=0, theta=?
Lecture 55: Solve 2cos(3theta)=1, theta=?
Lecture 56: Solve sin(2theta)=3cos(2theta), theta=?
Lecture 57: Solve 2sin(x)tan(x)-tan(x)=1-2sin(x), x=?