unit circle definitions of sine and cosine 50 videos
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The Definitions of Sine and Cosine
Precalculus Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
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Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
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Evaluating Sine and Cosine at Other Special Angles
Precalculus Trigonometric Functions
How to measure the sine and cosine of 150.
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Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counter-clockwise.
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Using the Sine and Cosine Addition Formulas to Prove Identities
Precalculus Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the cofunction identities.
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Find an Equation for the Sine or Cosine Wave
Precalculus Trigonometric Functions
How to identify the graph of a stretched cosine curve.
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The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
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The Circle
Precalculus Conic Sections
How to use the distance formula to derive the equation for a circle.
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The Circle
Precalculus Equations of Lines, Parabolas and Circles
How to use the distance formula to derive the equation for a circle.
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The Law of Sines
Precalculus Basic Trigonometry
How to define the law of sines.
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The Law of Cosines
Precalculus Basic Trigonometry
How to define and use the law of cosines.
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Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
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The Sine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the sine of a sum formula.
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Transforming the Graphs of Sine and Cosine
Precalculus Trigonometric Functions
How the values of A and B affect the shape of the graph y = A sin(Bx).
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More Transformations of Sine and Cosine
Precalculus Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(x-h)).
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Trigonometric Identities
Precalculus Trigonometric Functions
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
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Trigonometric Ratios: Cosine
Precalculus Basic Trigonometry
How to define the cosine ratio and identify the cosine of an angle in a right triangle.
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Trigonometric Ratios: Sine
Precalculus Basic Trigonometry
How to define the sine ratio and identify the sine of an angle in a right triangle.
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The Double-Angle Formulas
Precalculus Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the double-angle formulas.
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The Inverse Cosine Function
Precalculus Advanced Trigonometry
How to restrict the domain of cosine so it will have an inverse function.
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