Trigonometry: Understanding Angles and Sides in Right Triangles

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Questions and Answers

Apa yang dimaksud dengan sinus θ dalam sebuah segitiga siku-siku?

Rasio panjang sisi tinggi dengan sisi berdekatan

Rasio panjang sisi berlawanan dengan sisi tinggi (correct)

Rasio panjang sisi berdekatan dengan sisi tinggi

Rasio panjang sisi miring dengan sisi berlawanan

Nilai sinus 30° dalam sebuah segitiga siku-siku adalah?

1/√3 (correct)

1/2

√3/2

√3/3

Cosinus 60° dalam sebuah segitiga siku-siku adalah?

√3/2

1/2 (correct)

2/3

1/√3

Apa yang dimaksud dengan cosinus θ dalam sebuah segitiga siku-siku?

Rasio panjang sisi berdekatan dengan sisi miring Signup and view all the answers

Dalam sebuah segitiga siku-siku, jika sudut θ adalah 30°, maka nilai cosinus θ adalah?

√3/2 Signup and view all the answers

Bagaimana cara menghitung sinus dan cosinus dalam sebuah segitiga siku-siku?

Dengan menggunakan rumus sinus θ = sisi berlawanan / sisi miring dan cosinus θ = sisi miring / sisi berdekatan Signup and view all the answers

Bagian mana dari jantung yang menerima darah dari tubuh dan paru-paru?

Atria kanan Signup and view all the answers

Satuan apa yang digunakan untuk mengukur tekanan darah?

Millimeter merkuri (mmHg) Signup and view all the answers

Apa yang dapat dilakukan untuk mempertahankan kesehatan kardiovaskuler?

Berolahraga secara teratur dan mengkonsumsi makanan seimbang Signup and view all the answers

Apa fungsi dari arteri dalam sistem peredaran darah?

Mengalirkan darah yang kaya oksigen ke seluruh tubuh Signup and view all the answers

Apa yang diangkut oleh sistem peredaran darah?

Oksigen, nutrien, dan hormone Signup and view all the answers

Apa yang termasuk dalam kategori pembuluh darah?

Arteri, vena, dan kapiler Signup and view all the answers

Apa fungsi utama dari pembuluh darah kapiler?

Mengirim oksigen dan nutrisi ke jaringan Signup and view all the answers

Apa yang dibawa oleh arteri ke jaringan tubuh?

Darrah yang mengandung oksigen Signup and view all the answers

Bagaimana sirkulasi darah bekerja?

Jantung memompa darah melalui sistem peredaran darah Signup and view all the answers

Apa yang dihilangkan oleh ginjal dan hati dari darah?

Produk sampingan dan karbon dioksida Signup and view all the answers

Mengapa perawatan sistem peredaran darah sangat penting?

Untuk menjaga kesehatan dan kesejahteraan Signup and view all the answers

Study Notes

Trigonometry: The Study of Angles and Sides in Right Triangles

Trigonometry is an essential branch of mathematics that deals with the study of the relationship between angles and sides in right triangles. The word "trigonometry" is derived from the Greek words "tri" meaning three and "gonia" meaning angles, indicating its focus on the three angles in a right triangle.

Sine and Cosine

In a right triangle, the angles are measured in degrees or radians. The sine (sin) of an angle θ is the ratio of the length of the opposite side to the length of the hypotenuse. It is represented mathematically as sin θ = opposite side / hypotenuse. The cosine (cos) of an angle θ is the ratio of the length of the adjacent side to the length of the hypotenuse. It is represented mathematically as cos θ = adjacent side / hypotenuse.

For example, consider a right triangle with angles 30°, 60°, and 90°. The sine of 30° is sin 30° = opposite side / hypotenuse = 1 / √3, and the cosine of 30° is cos 30° = adjacent side / hypotenuse = √3 / 2. Similarly, the sine of 60° is sin 60° = opposite side / hypotenuse = √3 / 2, and the cosine of 60° is cos 60° = adjacent side / hypotenuse = 1 / 2.

Applications of Trigonometry

Trigonometry is widely used in various fields, including astronomy, navigation, engineering, physics, and computer graphics. Some of its applications include:

In astronomy, trigonometry is used to calculate the positions and movements of celestial bodies.
In navigation, trigonometry is used to determine the distance between two points on the Earth's surface and to find the direction to a destination.
In engineering and physics, trigonometry is used to analyze the motion of objects and to calculate the forces acting on them.
In computer graphics, trigonometry is used to create and manipulate three-dimensional objects.

Conclusion

Trigonometry is a fundamental branch of mathematics that provides the tools to understand the relationship between angles and sides in right triangles. The sine and cosine functions, as well as their applications, are crucial aspects of this branch of mathematics. With its wide range of applications in various fields, trigonometry continues to be an essential part of modern mathematics.

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Description

In this quiz, we will explore the basics of trigonometry, including the sine and cosine functions, and their applications in various fields such as astronomy, navigation, engineering, physics, and computer graphics.