FUNCIONES TRIGONOMETRICAS Super facil | Para principiantes | Encontrar medida del angulo

Summary

In this engaging video, Daniel Carreón introduces trigonometric functions, focusing on right triangles. He explains the basic concepts, including the definitions of the hypotenuse, opposite, and adjacent sides. The video covers the sine, cosine, and tangent functions, demonstrating their applications through practical examples. Viewers learn to calculate angles using these functions and how to verify results with both tables and calculators. The tutorial culminates with additional exercises for practice, encouraging interaction through comments. This accessible approach makes trigonometry easier to understand for learners.

Takeaways

• 😀 Right triangles have one 90-degree angle, with the longest side called the hypotenuse.
• 😀 The other two sides are named according to the angle of interest: opposite and adjacent.
• 😀 Trigonometric functions help find the lengths of sides or angles in right triangles.
• 😀 The three primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan).
• 😀 Sine is defined as the opposite side divided by the hypotenuse.
• 😀 Cosine is defined as the adjacent side divided by the hypotenuse.
• 😀 Tangent is defined as the opposite side divided by the adjacent side.
• 😀 To find angle measures, values can be checked against trigonometric tables or calculated using a scientific calculator.
• 😀 It's important to correctly identify the sides of the triangle before using trigonometric functions.
• 😀 Practice exercises at the end of the video encourage viewers to apply what they've learned.

Q & A

What are the main types of triangles discussed in the video?

The video primarily discusses right triangles, which are triangles that have one angle measuring 90 degrees.

What is the longest side of a right triangle called?

The longest side of a right triangle is called the hypotenuse.

How are the other two sides of a right triangle named?

The other two sides are named based on the angle being referenced: the side opposite the angle is called the opposite side, and the side adjacent to the angle is called the adjacent side.

What are the three main trigonometric functions introduced in the video?

The three main trigonometric functions introduced are sine, cosine, and tangent.

How is the sine of an angle defined in relation to the sides of a right triangle?

The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

What is the formula for cosine in a right triangle?

The formula for cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

How is the tangent of an angle calculated?

The tangent of an angle is calculated as the ratio of the length of the opposite side to the length of the adjacent side.

What method is used to find the angle from the sine value?

To find the angle from the sine value, one can refer to a trigonometric table or use a calculator with the inverse sine function.

In the examples provided, why were different trigonometric functions used to find the angles?

Different trigonometric functions were used based on the available side lengths; for instance, sine was used when the opposite side and hypotenuse were known, while tangent was used when both the opposite and adjacent sides were known.

What is the final example used to demonstrate how to find an angle using trigonometric functions?

In the final example, the video uses a triangle with sides measuring 3 cm and 8 cm to find an angle using the cosine function since only the adjacent side and hypotenuse were known.