the sine of a sum formula 29 videos
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The Sine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the sine of a sum formula.
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The Double-Angle Formulas
Trigonometry Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the double-angle formulas.
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Using the Sine and Cosine Addition Formulas to Prove Identities
Trigonometry Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the cofunction identities.
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The Law of Sines
Trigonometry Basic Trigonometry
How to define the law of sines.
law of sines ratios triangles -
The Cosine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula -
Trigonometric Ratios: Sine
Trigonometry Basic Trigonometry
How to define the sine ratio and identify the sine of an angle in a right triangle.
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The Inverse Sine Function
Trigonometry Advanced Trigonometry
How to restrict the domain of sine so it will have an inverse function.
inverse functions one to one inverse sine arcsine -
The Definitions of Sine and Cosine
Trigonometry Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine -
Evaluating Sine and Cosine at Other Special Angles
Trigonometry Trigonometric Functions
How to measure the sine and cosine of 150.
sine cosine unit circle definitions of sine and cosine angles in standard position reference angles -
Evaluating Sine and Cosine at Special Acute Angles
Trigonometry Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position -
Other Forms of the Cosine Double-Angle Formula
Trigonometry Advanced Trigonometry
How to derive two more cosine double-angle formulas.
the Pythagorean identity the cosine double angle formulas -
The Half-Angle Identities
Trigonometry Advanced Trigonometry
How to use the power reduction formulas to derive the half-angle formulas.
the power reduction formulas the half angle formulas quadrants -
Using Sine to Calculate the Area of a Triangle
Trigonometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Transforming the Graphs of Sine and Cosine
Trigonometry 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
Trigonometry Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(x-h)).
transformations sine period amplitude phase shift horizontal shift -
Find an Equation for the Sine or Cosine Wave
Trigonometry Trigonometric Functions
How to identify the graph of a stretched cosine curve.
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Equation of a Circle
Trigonometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle -
Distance Formula
Trigonometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment -
Solving Trigonometric Equations
Trigonometry Advanced Trigonometry
How to solve a simple sine equation: sin (theta) = 1/2.
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Graphs of the Sine and Cosine Functions
Trigonometry Trigonometric Functions
How to define periodic functions.
periodic functions period amplitude