'Sine' diaporamas de présentation

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Sine and Cosine Graphs

Sine and Cosine Graphs. Reading and Drawing Sine and Cosine Graphs. Some slides in this presentation contain animation. Slides will be more meaningful if you allow each slide to finish its presentation before moving to the next one. This is the graph for y = sin x.

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Sin & Cos Graphs

Sin & Cos Graphs. Section 4.5. OBJECTIVE. Sketch graphs of Sine and Cosine and their Transformations. RELEVANCE. The universe is full of curves but straight lines are easier to measure. So trigonometry provides the basis for using triangles to measure curved space and objects.

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Sinusoidal functions

Differentiation. Derivatives and differentials. Products and quotients. Power rule. Chain rule. Sinusoidal functions. Slope and derivative. 0. Differentials are not numbers. +5. +4. +3. +2. +1. 0. -1. -2.

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Trigonometric Identities

5. Trigonometric Identities. 5. Trigonometric Identities. 5.1 Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Sum and Difference Identities for Cosine 5.4 Sum and Difference Identities for Sine and Tangent 5.5 Double-Angle Identities 5.6 Half-Angle Identities.

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GRAPHS OF OTHER TRIG FUNCTIONS

GRAPHS OF OTHER TRIG FUNCTIONS. We are interested in the graph of y = f ( x ) = tan x. Start with a "t" chart and let's choose values from our unit circle and find the tangent values. Tangent has a period of  so it will repeat every . y. would mean there is a vertical asymptote here.

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GRAPHS OF OTHER TRIG FUNCTIONS

GRAPHS OF OTHER TRIG FUNCTIONS. We are interested in the graph of y = f ( x ) = tan x. Start with a "t" chart and let's choose values from our unit circle and find the tangent values. Tangent has a period of ? so it will repeat every ?. y. would mean there is a vertical asymptote here.

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Graphing Sine and Cosine Functions

Graphing Sine and Cosine Functions. In this lesson you will learn to graph functions of the form y = a sin bx and y = a cos bx where a and b are positive constants and x is in radian measure. The graphs of all sine and cosine functions are related to the graphs of

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Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute),

Add hypotenuse, the three proportions, Pythagorean Thm. and Converse(obtuse, acute), multiply fractions vs. proportions, 45-45-90 and 30-60-90 formulas, Pythagorean triple, sin, cos, tangent to vocab list. Geometry. 8.6 The Sine and Cosine Ratios. Sine ratio =.

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The Wave Function

The Wave Function. Many wave shapes, whether occurring as sound, light, water or electrical waves, can be described mathematically as a combination of sine and cosine waves. The graphs of sin x and cos x are shown below:. Consider the shape of the graph obtained by adding these 2 functions:.

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Further Trigonometry

Further Trigonometry. Learning Outcomes Calculate distances and angles in solids using plane sections and trig ratios Be able to sketch graphs of sine, cosine and tangent functions Use sine (including the ambiguous case) and cosine rules to solve problems, including simple cases in 3D

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Introducing Trigonometry

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Chapter 7.7 Notes: Solve Right Triangles

Chapter 7.7 Notes: Solve Right Triangles. Goal: You will use inverse tangent, sine, and cosine ratios to determine the unknown angle measures of right triangles and use tangent, cosine, and sine ratios to determine unknown side lengths of right triangles.

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Thinking about angles and quadrants

Here are some various memorization techniques. These may or may not be the best for you, but you can look through it and see if it helps or not. Perhaps a combination of methods may help. Please e-mail mistakes or suggestions to sakim@fjuhsd.net. Thinking about angles and quadrants.

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Unit 3: Right Triangle Trigonometry

Unit 3: Right Triangle Trigonometry. 3.3 Sine and Cosine of Complementary Angles. Daily Agenda. 3.3 Sine and Cosine of Complementary Angles. 180?. 90? - x. 90?. complementary. x. o pposite angle. cosine. Daily Agenda. 3.3 Sine and Cosine of Complementary Angles. Example 2.

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The Law of Sine

The Law of Sine. Three Methods. Angle Angle Side (AAS) Angle Side Angle (ASA) Side Side Angle (SSA) This one can be problematic. LAW of COSINE. C 2 =a 2 +b 2 -2ab cosC Solves for SSS and SAS. C 2 = a 2 +b 2 -2ab cosC 21.88 2 = 9.81 2 +15.26 2 -2(9.81* 15.26)cosC

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analyzemath/trigonometry/model_sine.html

Several students have said they still do not feel like they have mastered the models of sine and cosine curves. DO NOT wait until after vacation to address the issue. Visit these sites:. http://www.analyzemath.com/trigonometry/model_sine.html

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8.3 Trigonometric Integrals

8.3 Trigonometric Integrals. Trig Identities. Product-to-Sum identities. Basic identities. Half-angle identities. Examples. Strategy.

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MPL

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