'Standard position' presentation slideshows

Section 5.3 Trigonometric Functions on the Unit Circle

Section 5.3 Trigonometric Functions on the Unit Circle. Standard position. Unit Circle. Given a unit circle, the radius or hypotenuse = 1. Sine and Cosine. MEMORIZE THIS: The right angle is always on the x axis. The acute angle is always at the origin. MEMORIZE THIS TOO:

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Trigonometric Functions: The Unit Circle

Trigonometric Functions: The Unit Circle. Section 4.2. Objectives. Find a point on the unit circle given one coordinate and the quadrant in which the point lies. Determine the coordinates of a point on the unit circle given a point on the unit circle.

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Section 7-4

Section 7-4. Evaluating and Graphing Sine and Cosine . Copy and Complete the chart . Reference Angles.

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MAC 1114

MAC 1114. Module 6 Trigonometric Identities II. Rev.S08. Learning Objectives. Upon completing this module, you should be able to: Apply the sum and difference identities for sine. Apply the sum and difference identities for tangent. Use the double-angle identities.

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Where is Tan (x) undefined?

Where is Tan (x) undefined?. Where is csc (x) undefined?. Where is cot (x) undefined?. Where is sec (x) undefined?. Convert to degrees . Convert to degrees . Convert to radians . Draw the angle in standard position. Draw the angle in standard position.

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TRIGONOMETRY

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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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Sullivan Algebra and Trigonometry: Section 7.1 Angles and Their Measures

Sullivan Algebra and Trigonometry: Section 7.1 Angles and Their Measures. Objectives of this Section Convert Between Degrees, Minutes, Seconds, and Decimal Forms for Angles Convert From Degrees to Radians, Radians to Degrees Find the Arc Length of a Circle

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Sullivan Algebra and Trigonometry: Section 6.4 Trig Functions of General Angles

Sullivan Algebra and Trigonometry: Section 6.4 Trig Functions of General Angles. Objectives of this Section Find the Exact Value of the Trigonometric Functions for General Angles Determine the Sign of the Trigonometric Functions of an Angle in a Given Quadrant

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4.1 Radian and Degree Measure

4.1 Radian and Degree Measure. Objective. To use degree and radian measure. Angles. An angle is determined by rotating a ray about its endpoint. The starting point of the ray is the initial side. The ending position is the terminal side. . Angles.

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Special Tests in The Spine

Special Tests in The Spine. Tara Jo Manal PT,OCS, SCS. C1 Upper Cervical Flexors and Extensors C2 Upper Cervical Rot. C3 Scaleni C4 Diaphragm C5 Biceps (mm and Reflex) Infra/Supraspinatus C6 Brachioradialis (mm and Reflex) Wrist Extensors

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Warm-Up

Warm-Up. If (2, -5) is on the terminal side of an angle ? in standard position, find the 6 trig functions. If cos ? <0 and cot >0, in what quadrant does ? terminate? If cos ? = 4/5 and ? is in quadrant IV, find the values of cosecant and secant. . Trig Game Plan Date: 9/23/13.

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Angles and Radian Measure

Angles and Radian Measure. Section 4.1. Objectives. Estimate the radian measure of an angle shown in a picture. Find a point on the unit circle given one coordinate and the quadrant in which the point lies.

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Angles of Rotation and Radian Measure

Angles of Rotation and Radian Measure. An angle of rotation is formed by two rays with a common endpoint (called the vertex ). In the last section, we looked at angles that were acute. In this section, we will look at angles of rotation whose measure can be any real number. terminal side.

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TF.02.1 - Angles in Standard Position and Their Trig. Ratios

TF.02.1 - Angles in Standard Position and Their Trig. Ratios. MCR3U - Santowski. (A) Angles in Standard Position.

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8.1 Geometric Vectors

Use the worksheet vectors for Assignment # 58. 8.1 Geometric Vectors. By the end of the period students will be able to add and subtract vectors geometrically as evidenced by a partner activity.

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2.4 The 6 trig functions

2.4 The 6 trig functions. Lesson Obj : Iwbat to find the values of the 6 trig functions in a rotation. Guiding Question: What is the relationship between sin/ cos /tan & csc /sec/cot?. Recall the basic trig functions. The remaining are just the reciprocals of the 1 st 3.

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The Unit Circle

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Trig 1.2

Trig 1.2. The Rectangular Coordinate System. Review. Read pages 14-21 of your text. Ask questions on anything that you need clarification with. . Angles in Standard Position. Standard position- the initial side of angle is located along the positive x-axis and its vertex is at the origin

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Reduction of Monosaccharides

REACTIONS OF MONOSACCHARIDES. Reduction of Monosaccharides. The reduction of the carbonyl group produces sugar alcohols, or alditols. D-Glucose is reduced to D-glucitol also called sorbitol . Oxidation of Monosaccharides.

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