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13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig
I. Let theta be an angle in standard position with any point (x, y) on its terminal side. Then let. (cosine is x; sine is y)
A. Given a point on the terminal side of angle theta. Find the exact six trig functions. 1. (-12, 5) 2.
II. For each function, find the exact values of the remaining five trig functions. 1. quadrant II 2. quadrant IV
3. quadrant III
III. Reference Angle is formed by the terminal side and the x-axis. ***Reference angles are always acute and always positive.
A. Find the reference angle for each of the following. 1. 300º 2. 235º 3. -240º
IV. Evaluating Trig Function of any Angle --find the reference angle --evaluate the trig function for the --use the quadrant in which is in to determine the sign 0° 30° 45° 60° 90° Sin Cos Tan
Find the exact value of each trig function 1. sin 135° 2.
3.4. 5. sin (-90)
4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
Chapter 4 Trigonometric Functions Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle. Use reference angles.
7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y y x.
TRIGONOMETRY. Sign for sin , cos and tan Quadrant I 0° < < 90° Quadrant II 90 ° < < 180° Quadrant III 180° < < 270° Quadrant IV 270 ° < <
4.4 Trigonometric Functions of Any Angle. Ex.Find the sine, cosine, and tangent of if (-3,4) is a point on the terminal side of. (-3,4) -3 4 ? =5.
Warm-Up 8/26. Rigor: You will learn how to find reference angles, to evaluate and determine sign of trig functions of any angle. Relevance: You will.
Evaluating Sine & Cosine and and Tangent (Section 7.4)
Section 5.3 Trigonometric Functions on the Unit Circle.
Section 4.4. In first section, we calculated trig functions for acute angles. In this section, we are going to extend these basic definitions to cover.
Reference Angles And Trigonometry Using Trigonometry in a Right Triangle We were limited to Acute Angles We can extend Trigonometry to Angles of Any.
Trigonometry/Precalculus ( R ) Section 5.1 – 5.3 Pre-Test.
Wednesday, Jan 9, Objective 1 Find the reference angle for a given angle A reference angle for an angle is the positive acute angle made by the.
Aim: How do we find the exact values of trig functions? Do Now: Evaluate the following trig ratios a) sin 45 b) sin 60 c) sin 135 HW: p.380 # 34,36,38,42.
Trigonometric Functions of Any Angle 4.4. Definitions of Trigonometric Functions of Any Angle Let is be any angle in standard position, and let P =
Section 4.4 Trigonometric Functions of Any Angle.
Pre-Calc Book Section 5.2 Trigonometric Functions of Real Numbers Objectives: How do you find the value of any given trig angle? How can understanding.
Warm-Up 3/ Rigor: You will learn how to find reference angles, to evaluate and determine sign of trig functions of any angle. Relevance: You will.
13.1 R IGHT T RIANGLE T RIG Algebra II w/ trig. Right Triangle:hypotenuse Side opposite Side adjacent 6 Basic Trig Functions: In addition:
Trig/Precalculus Section 5.1 – 5.8 Pre-Test. For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the.
4.4 Trigonmetric functions of Any Angle. Objective Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
1 7.4 Trigonometric Functions of General Angles In this section, we will study the following topics: Evaluating trig functions of any angle Using the unit.
C H. 4 – T RIGONOMETRIC F UNCTIONS 4.4 – Trig Functions of Any Angle.
8-1 Standards 8a - Draw angles that are negative or are larger than 180° 8b - Find the quadrant and reference angles of a given angle in standard position.
Section 5-3 Trigonometric Functions on the Unit Circle Objective: Students will be able to: 1.Find the values of the six trigonometric functions using.
Bell Work Find the 6 trig functions for
OBJECTIVES: 1. DEFINE THE TRIGONOMETRIC RATIOS IN THE COORDINATE PLANE. 2. DEFINE THE TRIGONOMETRIC FUNCTIONS IN TERMS OF THE UNIT CIRCLE. 6.4Trigonometric.
Copyright © Cengage Learning. All rights reserved. 4.4 Trigonometric Functions of Any Angle.
Determining signs of Trig Functions (Pos/Neg) x y Last class we found trig values using an x-y coordinate. Not all trig values are positive We can determine.
6.1 – 6.5 Review!! Graph the following. State the important information. y = -3csc (2x) y = -cos (x + π/2) Solve for the following: sin x = 0.32 on [0,
Chapter 6 – Trigonometric Functions: Right Triangle Approach Trigonometric Functions of Angles.
Lesson 4.4 Trigonometric Functions of Any Angle. Let be an angle in standard position with (x, y) a point on the Terminal side of and Trigonometric.
Sum and Difference Formulas New Identities. Cosine Formulas.
5.3 The Unit Circle. A circle with center at (0, 0) and radius 1 is called a unit circle. The equation of this circle would be So points on this circle.
4.4 Day 1 Trigonometric Functions of Any Angle –Use the definitions of trigonometric functions of any angle –Use the signs of the trigonometric functions.
4.4 Trig Functions of Any Angle Reference Angles Trig functions in any quadrant.
Lesson 2.8. There are 2 radians in a full rotation -- once around the circle There are 360° in a full rotation To convert from degrees to radians.
4.4 Trigonometric Functions of any Angle Objective: Students will know how to evaluate trigonometric functions of any angle, and use reference angles to.
2.3 Evaluating Trigonometric Functions for any Angle JMerrill, 2009.
Trig Functions of Special Angles Objectives To find exact values for the six trigonometric functions of special angles To find decimal approximations for.
14.2 The Circular Functions Locate the points on the unit circle and identify the angle measure in standard position that would pass through that point.
1 Chapter 4 Trigonometry Section 4 Trigonometric Functions of Any Angle to infinity and beyond... ! Math Analysis.
§5.3. I can use the definitions of trigonometric functions of any angle. I can use the signs of the trigonometric functions. I can find the reference.
REVIEW Reference angle. What is the value of theta based on the given point.
Ac 7.4 (PC 4.4) - Do Now: Pre-Calc book. Hw: p (13, 16, 17, 25, 28, 34, 36, even) tomorrow: p.549 (60, 65, 69, 72, 77, 81, 88, 89, 92, 95,
Section 7.2 The Inverse Trigonometric Functions (Continued)
Unit 5 Sum and Difference Identities. Finding Exact Value While doing this it is important to remember your 30, 45, and 60 degree angles. Also know each.
Properties of the Trigonometric Functions. Domain and Range Remember: Remember:
+ 4.4 Trigonometric Functions of Any Angle *reference angles *evaluating trig functions (not on TUC)
Mrs. Crespo Definition Let θ be a non-quadrantal angle in standard position. The reference angle for θ is the acute angle θ R that the terminal.
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