# Ch 34: MTEL Middle School Math/Science: Trigonometric Applications

### About This Chapter

## MTEL Middle School Math/Science: Trigonometric Applications - Chapter Summary

Introducing your students to triangles and the concepts involved with trigonometry and their applications will be a fun process. This chapter of video lessons in the MTEL Middle School Math/Science course refreshes your brain on trigonometric applications and gets you ready to become certified. The concepts you find on the exam will include the following:

- Solving real world problems with laws
- Solving triangles with laws
- Using the laws of cosines and sines
- Proving formulas with sine, cosine and tangent

This chapter of trigonometric applications is formatted to use on your mobile device, easily enabling you to sneak in a quick study session on the go no matter where you are. If you need extra help remembering formulas or one of the laws, contact one of the experts at Study.com via your dashboard and they will be able to answer any questions you have.

### MTEL Middle School Math/Science: Trigonometric Applications Objectives

The MTEL Middle School exam is given to teachers seeking certification in the state of Massachusetts for math and science elementary schools. The concepts of trigonometric applications are contained in the Trigonometry, Calculus, and Discrete Mathematics subarea of the test, which accounts for about five percent of the test weight. The entire exam is given in multiple-choice format.

### 1. Solving Oblique Triangles Using the Law of Cosines

After watching this video lesson, you will be able to use the law of cosines to help you find a missing side or missing angle of any kind of triangle. Also, you will see what oblique triangles are.

### 2. Solving Real World Problems Using the Law of Cosines

After watching this video lesson, you will be able to use the law of cosines to solve real-world problems. Learn what kinds of real-world problems the law of cosines can help you solve.

### 3. Using the Law of Sines to Solve a Triangle

After watching this video lesson, you will be able to use the law of sines to find a missing side of a triangle as well as a missing angle of a triangle. Learn what you need to know about the triangle in order to use the formula.

### 4. Solving Real World Problems Using the Law of Sines

After watching this video lesson, you will be able to use the law of sines to solve problems that you will encounter in the real world. Learn what kind of shape you need in order to solve your real world problems.

### 5. Proving the Addition & Subtraction Formulas for Sine, Cosine & Tangent

Watch this video lesson, and you will see how the angle sum and difference identities are derived for sine, cosine, and tangent. You will also learn how you can use these identities to help you solve problems.

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### Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

- MTEL Middle School Math/Science: Number Structure
- MTEL Middle School Math/Science: Absolute Value
- MTEL Middle School Math/Science: Numerical & Algebraic Properties
- MTEL Middle School Math/Science: Properties of Equality & Inequality
- MTEL Middle School Math/Science: Mathematical Operations
- MTEL Middle School Math/Science: Introduction to Fractions
- MTEL Middle School Math/Science: Operations with Fractions
- MTEL Middle School Math/Science: Decimals & Decimal Operations
- MTEL Middle School Math/Science: Percents
- MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change
- MTEL Middle School Math/Science: Estimation in Math
- MTEL Middle School Math/Science: Real Numbers
- MTEL Middle School Math/Science: Exponents
- MTEL Middle School Math/Science: Roots & Powers
- MTEL Middle School Math/Science: Algebra Basics
- MTEL Middle School Math/Science: Principles of Algebra
- MTEL Middle School Math/Science: Functions
- MTEL Middle School Math/Science: Linear Equations
- MTEL Middle School Math/Science: Polynomials
- MTEL Middle School Math/Science: Quadratic Equations
- MTEL Middle School Math/Science: Vectors in Linear Algebra
- MTEL Middle School Math/Science: Matrices in Linear Algebra
- MTEL Middle School Math/Science: Sequences & Series
- MTEL Middle School Math/Science: Measurement
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Area, Perimeter & Volume
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Graphs
- MTEL Middle School Math/Science: Solving Trigonometric Equations
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Types of Data
- MTEL Middle School Math/Science: Probability & Statistics
- MTEL Middle School Math/Science: Conditional & Independent Probability
- MTEL Middle School Math/Science: Probability & Statistics Calculations
- MTEL Middle School Math/Science: Basics of Logic
- MTEL Middle School Math/Science: Foundations of Science
- MTEL Middle School Math/Science: Scientific Research
- MTEL Middle School Math/Science: The Scientific Method
- MTEL Middle School Math/Science: Data Collection
- MTEL Middle School Math/Science: Analyzing Scientific Data
- MTEL Middle School Math/Science: Laboratory Procedures & Safety
- MTEL Middle School Math/Science: Experimental Chemistry
- MTEL Middle School Math/Science: Matter
- MTEL Middle School Math/Science: Inorganic Chemistry
- MTEL Middle School Math/Science: Measurement & Problem Solving
- MTEL Middle School Math/Science: Atomic Structure
- MTEL Middle School Math/Science: The Periodic Table
- MTEL Middle School Math/Science: Chemical Bonding
- MTEL Middle School Math/Science: Phase Changes for Liquids & Solids
- MTEL Middle School Math/Science: Solutions in Chemistry
- MTEL Middle School Math/Science: Stoichiometry & Chemical Equations
- MTEL Middle School Math/Science: Acids, Bases & Reactions
- MTEL Middle School Math/Science: Equilibrium
- MTEL Middle School Math/Science: Chemical Kinetics
- MTEL Middle School Math/Science: Thermodynamics in Chemistry
- MTEL Middle School Math/Science: Newton's First Law of Motion
- MTEL Middle School Math/Science: Newton's Second Law of Motion
- MTEL Middle School Math/Science: Newton's Third Law of Motion
- MTEL Middle School Math/Science: Force & Motion
- MTEL Middle School Math/Science: Wave Behavior
- MTEL Middle School Math/Science: Waves, Sound & Light
- MTEL Middle School Math/Science: Energy
- MTEL Middle School Math/Science: Electricity
- MTEL Middle School Math/Science: Magnetism & Electromagnetism
- MTEL Middle School Math/Science: Cells & Living Things
- MTEL Middle School Math/Science: Cell Division
- MTEL Middle School Math/Science: Genetics & Heredity
- MTEL Middle School Math/Science: DNA
- MTEL Middle School Math/Science: Genetic Mutations
- MTEL Middle School Math/Science: Origin & History of the Earth
- MTEL Middle School Math/Science: Ecosystems
- MTEL Middle School Math/Science: Evolving Ecosystems
- MTEL Middle School Math/Science: Rocks, Minerals & Soil
- MTEL Middle School Math/Science: Forces that Change the Earth's Surface
- MTEL Middle School Math/Science: Earth's Hydrosphere
- MTEL Middle School Math/Science: Structure of the Earth's Atmosphere
- MTEL Middle School Math/Science: Earth's Atmosphere, Weather & Climate
- MTEL Middle School Math/Science: Solar System
- MTEL Middle School Math/Science: Characteristics of the Universe
- MTEL Mathematics/Science (Middle School) Flashcards