Laws of Sines and Cosines . Sections 6.1 and 6.2. Objectives. Apply the law of sines to determine the lengths of side and measures of angle of a triangle. Solve word problems requiring the law of sines.

BySection 7.5. Unit Circle Approach; Properties of the Trigonometric Functions. THE UNIT CIRCLE. The circle that has its center at the origin and a radius of 1 is called the unit circle . Its equation is x 2 + y 2 = 1.

ByInverses of Trigonometric Functions. 13-4. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 2. Warm Up Convert each measure from degrees to radians. 1. 120° 2. 180° 3. 225° 4. –30°. Warm Up Find the exact value of each trigonometric function. 5. 6. 7. 8. Objectives.

ByTrigonometric Functions: The Unit Circle 4.2. Unit Circle. The unit circle is a circle of radius 1 with its center at the origin. If t is a real number and P = (x, y) is a point on the unit circle that corresponds to t , then.

ByDifferentiation. Differentiation Rules. 1. . Differentiation Rules. 1. . Differentiation Rules. 2. . Differentiation Rules. 2. . Differentiation Rules. 2. . Differentiation Rules. 3. . Differentiation Rules. 3. . Differentiation Rules. for any positive integer n. 4. .

ByContinuity Curves without gaps?. Animation (infinite length). Continuity. Definition A function f is continuous at a number a if lim f(x) = f(a). x -> a. 1. f (a) is defined. 2. lim f(x) exists. x -> a. 3.lim f(x) = f(a). x -> a.

ByThe Pythagorean Theorem. From The Simpson’s Homer copies the Scarecrow on The Wizard of Oz . The Pythagorean Theorem. The sum of the square of the two sides of a right triangle is equal to the square of the hypotenuse.

By4.1 – Right Triangle Trigonometry. Objectives: You should be able to find values of trig functions in right triangles and solve right triangles. Vocabulary. Key Concept 1. Example 1: Find the exact values of the six trigonometric functions of θ. Example 1.

ByRight Triangle Trigonometry. Section 6.5. Pythagorean Theorem. Recall that a right triangle has a 90 ° angle as one of its angles. The side that is opposite the 90 ° angle is called the hypotenuse .

ByIntro to Trigonometric Functions. Physics Mrs. Coyle. Trig Ratios. sin= O SOH H cos= A CAH H tan= O TOA A. H ypotenuse. O pposite. q. A djacent. Angle of Elevation. Angle of Elevation. q. Example 1.

ByVerifying Trigonometric Identities. Section 5.1. Objectives. Apply a Pythagorean identity to solve a trigonometric equation. Rewrite an expression in terms of sines and cosines using definitions and identities. Verify a trigonometric identity. . Pythagorean Identities.

ByExcel Lesson 5 Using Functions. Microsoft Office 2007: Introductory. Objectives. Identify the parts of a function. Enter formulas with functions. Use functions to solve mathematical problems. Use functions to solve statistical problems. Use functions to solve financial problems.

ByGraphs of Sine and Cosine Functions. y. y = sin x , 0 < x < 2 . 1. x. ˝. . . . 3 . 2 . 6. 3. 2. 2. -1. Period: 2 . The Graph of y=sinx.

ByTrigonometric Equations. When the graph of y = sin a is displaced by b units horizontally, its equation becomes y = sin ( a+b ). Angles such as ( a + b ) are called compound angles .

ByRight Triangle Trigonometry!. 10 th Grade Geometry By Melissa Inforna. Table of Contents. Welcome Setting up your calculator Basic parts of a right triangle Angles and Sides of a right triangle Welcome to SohCahToa Finding the ratio Mission #1 Mission #2 Mission #3 Credits.

By7-6 The Inverse Trigonometric Functions. Objective: To find values of the inverse trigonometric functions. The Inverse Trigonometric Function. When does a function have an inverse?. It means that the function is one-to-one.

ByChapter 6 – Graphs and Inverses of the Trigonometric Functions. 6.1 Graphs of Trigonometric Functions. First as a class let’s graph y = sin x and y = cos x. y = tan x.

ByIraqi Kurdistan Regional Government Ministry of Higher Education & Scientific Research Salahaddin University - Erbil College of Basic Education Department of Mathematics First class student. Foundation of Mathematics Dr. Sami A. Hussein. 2018-2019. Function.

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

ByPre-Calculus Day 39. Unit Circle Trigonometry. What You Should Learn. Identify a unit circle and describe its relationship to real numbers. Evaluate trigonometric functions using the unit circle. Plan for the day…. Review of homework Quiz Quick Review Let’s build the Unit Circle…

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