AUTHOR Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the "Improve Your Math Fluency" series of workbooks to help students become more fluent in basic math skills.WHAT TO EXPECT This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to "teach" trigonometry, but a workbook designed to supplement a student's instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children.DESCRIPTION This "Trigonometry Essentials Practice Workbook with Answers" provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who aren't allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT).CONTENTS This workbook is conveniently divided up into 11 chapters so that students can focus on one trigonometry skill at a time. Skills include the following: converting between degrees and radians;expressing sine, cosine, tangent, secant, cosecant, and cotangent as fractions by looking at right triangles;solving for unknown sides and angles in 45 -45 -90 and 30 -60 -90 right triangles;determining the sine, cosine, tangent, secant, cosecant, and cotangent of multiples of 30 and 45 up to 360 (working with both degrees and radians);practice finding the reference angle for angles in Quadrants II, III, and IV;finding the inverse trig functions;applying the law of sines and the law of cosines to solve for unknown sides and angles in acute and obtuse triangles;solving problems with trig identities (like the angle sum and difference formulas);and solving algebraic equations that feature basic trig functions.EXAMPLES Each section begins with a few pages of instructions for how to solve the problems followed by some examples. These examples should serve as a useful guide until students are able to solve the problems independently.ANSWERS Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.PHOTOCOPIES The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice.INTRODUCTION An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills.

DESCRIPTION: These word scramble puzzles consist of pairs of English and French words where the letters have been scrambled. In each pair, the first word is a common English word and the second word is its French equivalent. Solve each puzzle by rearranging the letters to form the matching English and French words. For example, consider the following pair of English-French word scrambles: L O H E L / J U N O B O R. Rearranging the letters LOHEL, we can form the word HELLO; and unscrambling the letters JUNOBOR, we can form BONJOUR. LEVEL OF DIFFICULTY: You need to have familiarity with vocabulary words from French 1 in order to be able to unscramble the French words. Once you have unscrambled both words in a puzzle, seeing the words that go together - one English, one French - will help to reinforce your French-English vocabulary. ORGANIZATION: All of the answers in each puzzle are related in some way. For example, they might all be days of the week, or they might be feelings. Knowing that the words are related may help you unscramble any words that you don't see right away. HINTS/ANSWERS: There are separate sections of hints and answers at the back of the book. The hints section provides just the first letter of each word. This can be useful if you just need a little help. Complete answers are provided in the answers section. You might want to place a folded sheet of paper here so that you can check the current puzzle's answers without spoiling other puzzles.

AUTHOR: Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University. Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. His background on the geometry and physics of a possible fourth dimension of space includes a half-dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron Collider.DESCRIPTION: While Volume 1 covered the geometry of extra dimensions in detail, Volume 2 focuses on the physics of extra string-inspired dimensions. Consider the problem and solution of expressing the cross product in higher dimensions. See the effect that the extra flux of field lines has on Gauss's law in higher dimensions. Explore how extra dimensions may be hidden via compactification. Discover the recent motivation for the case of extra dimensions that are much larger than originally predicted by string theory. Read about current and upcoming experiments with the potential to detect the presence of large extra dimensions in our universe. Learn the fundamentals of special and general relativity, quantum mechanics, and string theory, and how these relate to extra dimensions... All on this visual introduction to the fourth and higher dimensions. This guide is conceptually and visually detailed, intended for mathematically-minded readers who may have not yet been exposed to calculus.PUZZLES: Several puzzles are included to challenge the reader to contemplate the fourth dimension. Answers are included at the back of the book.