# How To Solve Trigonometry Word Problems

First Slide: Formulas - Sin = Opp/Hyp, Cos = Adj/Hypotenuse Tan = Opp/Adj Note: x is the angle we are using to determine the opp, adj, or the hypotenuse. The S in Soh represents the Sine, while the o stands for opposite, and the h stands for hypotenuse.If it were another angle, then the opposite and adjacent would change. Definitions: Hypotenuse - The longest side of a right triangle. Opposite - The side opposite to the angle of reference.

First Slide: Formulas - Sin = Opp/Hyp, Cos = Adj/Hypotenuse Tan = Opp/Adj Note: x is the angle we are using to determine the opp, adj, or the hypotenuse. The S in Soh represents the Sine, while the o stands for opposite, and the h stands for hypotenuse.

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I will also provide tips on how to study and learn this topic well.

This tutorial requires you to already know some basic algebra and geometry.

In this Introduction, I will give a general overview of the topic of Trigonometry, tips on how to learn and study well, and then go into more detail.

In Mathematics, it is always important to learn how to understand what you are doing, and why you are doing these steps as opposed to just memorizing it. In this instructable, I will start basic with naming the sides of the right triangles, the trigonometric functions, and then gradually increase the difficulty so that the reader can eventually see how to tackle these problems, and apply them to real world situations.

1)You have to first identify the right triangle in this scenario. What function will give you the side you need to solve for? First, you determine the right function to use (tan, sin, and cos) based off of which sides are given (Hyp, Adj, Opp). What trigonometric function involves both the opposite and the hypotenuse? I recommend buying a math book as a source to find a variety of problems, and learn concepts.

4) Apply the function to that angle, solve for the side, and calculate. If you identify your difficulties, be sure to ask for help!

(only for the top triangle)d) use a calculator to find the numerical value of x. Answers: Left Triangle- A) Hyp=5m, Adj=4m, Opp=3m B) Sin C = ⅗, Cos C = ⅘ Tan C = ¾ Right Triangle- A) Hyp=x, Adj=unknown side, Opp=2,500. This step was made to help you understand what the strange numbers and decimals on your calculator mean whenever you find the sin, cos, or tan of an angle. The first step would be to figure out what is given. Then just type that into your calculator to find the result. We have learned what is a right triangle, opp, adj, hyp, sin, cos, tan, how to solve for an unknown side using trigonometry, the pythagorean theorem, values of trigonometric functions for specific angles, applying trigonometry to real world problems, and using the inverse sine to find the value of an angle given the sides.

(top Triangle)Tip: Use Pythagoras Theorem To solve for the third unknown side. B) Sin 23 = 2500/x, Cos 23 = unknown side/x, Tan 23 = 2500/unknown side. Fourth Slide: These are world problems that are found in real-life situations so that you can put your knowledge into more practical use! 3)Find the angle you need to use for your situation. The goal is to find the measure of an angle given at least two sides. The opposite (7) and the hypotenuse (25) are known. The arcsine is just another word for the inverse sin. In order to improve, you must practice more math problems.

You may have been introduced to Trigonometry in Geometry, when you had to find either a side length or angle measurement of a triangle.

Trigonometry is basically the study of triangles, and was first used to help in the computations of astronomy.

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