PPT-The Trigonometric Ratios

Agenda Do Now Quiz Review Lesson 26 14 Trigonometric Ratios Fisher Building Problem Debrief DO NOW 15 Label the opposite adjacent and hypotenuse for reference angle A θ Quiz Review Lesson 26 Classwork 13. Ratios ratios are one number expressed in relation to another by dividing the one number by the other For example the sex ratio of Delaware in 1990 was 343200 females to 322968 males or 106 This can easily be expressed in terms of males to females 9 Overview of math topics. The . Metric . System & Trigonometry. Metric System. Prefixes for SI units. Multiple. Power of 10. Prefix. Symbol. Meaning. 1,000,000,000,000. 10. 12. Tera. T. Trillion. 1,000,000,000. Calisia . McLean. Trigonomic functions. The trigonometric functions are among the most fundamental in mathematics. The significance of applied mathematics extends beyond basic uses, because they can be used to describe any natural phenomenon that is periodic, and in higher mathematics they are fundamental tools for understanding many abstract spaces.. Jami . Wang. . Period 3. Extra Credit PPT. Pythagorean Identities. sin. 2 . X + cos. 2 . X = 1. tan. 2. X + 1 = sec. 2. X. 1 + cot. 2. X = csc. 2. X. These . identities can be used to help find values of trigonometric functions. . Sec. . 5.2a. Prove the algebraic identity. We begin by writing down the left-hand side (LHS), and should. e. nd by writing the right-hand side (RHS). Each of the. e. xpressions between should be . easily seen . Outline:. Ratios!. What is a Ratio? . How to Use Ratios? . How to Simplify?. . Proportions!. What is a proportion?. Properties of proportions?. How to use proportions? . Mysterious Problems…. Enea. Sacco. 2. Welcome to Calculus I!. Welcome to Calculus I. 3. Topics/Contents . Before Calculus. Functions. New functions from the old. Inverse Functions. Trigonometric Functions. Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Jami . Wang. . Period 3. Extra Credit PPT. Pythagorean Identities. sin. 2 . X + cos. 2 . X = 1. tan. 2. X + 1 = sec. 2. X. 1 + cot. 2. X = csc. 2. X. These . identities can be used to help find values of trigonometric functions. . Section 8.4b. How do we evaluate this integral?. Trigonometric Substitutions. These trigonometric substitutions allow us to replace. b. inomials of the form. b. y single squared terms, and thereby transform a number. Trigonometric Heighting Comparing Trigonometric Heighting, Geometric Levelling, and GNSS Heighting 4/14/2015 Greg Rodger - GGE 4700 Technical Report 1 Technical Report Presentation by Greg Rodger How can you evaluate trigonometric functions of any angle?. What must always be true about the value of r?. Can a reference angle ever have a negative measure?. General Definitions of Trigonometric Functions. A comparison between two quantities . For every . x. units of one quantity, there are . y. units of another. A Ratio is…. Using a colon . Example:. . 2:3. As a fraction . Example: . Right Angle Trigonometry Labeling a Right Triangle In trigonometry, we give each side a name according to its position in relation to any given angle in the triangle: Hypotenuse, Opposite, Adjacent  2. Today’s Objective. Review right triangle trigonometry from Geometry and expand it to all the trigonometric functions . Begin learning some of the Trigonometric identities. What You Should Learn.