'Reference angle' diaporamas de présentation

Trigonometric Ratios in the Unit Circle

Trigonometric Ratios in the Unit Circle. Warm-up (2 m). Sketch the following radian measures:. Trigonometric Ratios in the Unit Circle. The unit circle has a radius of 1. Quadrant II. Quadrant I. x is y is. x is y is. Quadrant III. Quadrant IV. x is y is. x is y is.

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Vectors

Vectors. Sections 6.6. Objectives. Rewrite a vector in rectangular coordinates (in terms of i and j ) given the initial and terminal points of the vector. Determine the magnitude and direction of a vector given in terms if i and j .

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100

Trig. Jeopardy!. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. 100. Find a positive AND negative coterminal angle for -100 ?. Answer: 260 ? and -460 ? . 200.

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Hosted by Mr. Guthrie

Jeopardy. Hosted by Mr. Guthrie. Trig Identities. Coordinate Trig. Trig Problems. Definitions. 100. 100. 100. 100. 200. 200. 200. 200. 300. 300. 300. 300. 400. 400. 400. 400. 500. 500. 500. 500. Row 1, Col 1. What is opposite, adjacent, and hypotenuse?.

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4.4 Trigonmetric functions of Any Angle

4.4 Trigonmetric functions of Any Angle. Objective. Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions. Definitions of Trigonometric Functions of any Angle.

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TRIGONOMETRIC FUNCTIONS OF ANY ANGLE

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE . Section 4.4. Objectives:. Evaluate trigonometric functions of any angle. Use reference angles to evaluate trigonometric functions. To evaluate trigonometric functions of real numbers. Unit Circle Rationale.

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TRIGONOMETRY

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6.3 Trig Functions of Angles

6.3 Trig Functions of Angles. So P = (x, y) is a point on the terminal side of theta. Using the P ythagorean theorem, r = . P. P (x, y). opposite. r. y. hypotenuse. Q. O. Q. x. adjacent. O. So:.

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10.4 Trigonometric (Polar) Form of Complex Numbers

10.4 Trigonometric (Polar) Form of Complex Numbers. Call the horizontal axis the real axis and the vertical axis the imaginary axis . Now complex numbers can be graphed in this complex plane . The Complex Plane and Vector Representations.

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The Trigonometric Functions

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Name the quadrant.

Warm UP!. Name the quadrant. . 1. 2. 258?. Determine a positive and negative coterminal angle. 3. 52 ?. 4. -36 ?. Convert from Degrees to Radians or vice versa:. 5. 90 ?. 6. QUIZ 1-1. After the quiz, we will be working on the UNIT CIRCLE (EXCITING!!!!). The Unit Circle.

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Chapter 8: Trigonometric Equations and Applications

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Trigonometric Ratios

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Trigonometric Functions on Any Angle

Trigonometric Functions on Any Angle. Section 4.4. Objectives. Determine the quadrant in which the terminal side of an angle occurs. Find the reference angle of a given angle.

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Trigonometric Ratios

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Section 7.4

Section 7.4. Trigonometric Functions of General Angles.

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1.4 Trig Values of any Angle

1.4 Trig Values of any Angle. (We have already talked about this). Sort of : It turns out that all of the trig values we have been talking about can also be calculated on any circle not just a unit circle (r = 1). So the values can be found using any circle regardless of its radius. .

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Trigonometry L1-4 Definitions of Trigonometric Functions

Trigonometry L1-4 Definitions of Trigonometric Functions. r. y. ?. x. Ex1. Find the six trig functions for the angle whose terminal side passes through (4,-2). 4. ?. -2. r. 4 2 + (-2) 2 = r 2. Ex2. Find the six trig functions for the angle ?

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Pre- Calculus Lesson 5-1: Angles and Degree Measure Vertex: Initial Side: Terminal Side

Pre- Calculus Lesson 5-1: Angles and Degree Measure Vertex: Initial Side: Terminal Side Standard Position: Degree : Minutes: Seconds:. The endpoint of two rays that form an angle. Terminal Side. The side of the angle that is fixed. Initial Side.

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