7. Trigonometry

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Trigonometry is one of the most important and frequently discussed topics in the ENEM test. The word 'trigonometry' comes from two Greek words: 'trigonon' which means triangle and 'metron' which means measure. Therefore, trigonometry is the study of the relationships between angles and the measures of triangles.

There are six main trigonometric functions that you need to know for the ENEM test: sin (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec) and cosecant (csc). These functions are defined in terms of the sides of a right triangle. For example, in a right triangle, the sine of an angle is the ratio of the side opposite the angle to the hypotenuse of the triangle. Likewise, the cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse, and the tangent of an angle is the ratio of the opposite side to the side adjacent to the angle.

Another important concept in trigonometry is reference angles. A reference angle is an acute angle that can be used to find the trigonometric functions of a larger angle. For example, if you know that the sine of 30 degrees is 0.5, then you can use that knowledge to find the sine of 150 degrees, which is equal to the sine of 30 degrees.

In addition, trigonometry also involves the study of trigonometric identities. Trigonometric identities are equations that relate trigonometric functions to each other. Some of the most important trigonometric identities you need to know for the ENEM exam include the Pythagorean identities, the angle sum and difference identities, and the double angle identities.

Trigonometry is also used to solve practical application problems. For example, it can be used to determine the height of a building or the distance between two points on a map. In the ENEM test, you can find questions that ask you to use trigonometry to solve practical application problems.

To prepare for the ENEM test, it is important that you practice a lot of trigonometry problems. This will help you become familiar with trigonometric functions and their properties, and will also help you develop problem-solving skills. Also, it's a good idea to review trigonometric formulas and identities regularly, as they are often used in ENEM trigonometry questions.

In conclusion, trigonometry is an important topic that you need to master for the ENEM exam. It involves studying the relationships between the angles and measures of triangles, and is used to solve a variety of problems with practical application. So make sure you dedicate enough time to study and practice trigonometry in your preparation for the ENEM exam.

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