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Introduction to Trigonometry Video Lecture - Class 10

FAQs on Introduction to Trigonometry Video Lecture - Class 10

1. What is trigonometry?

Ans. Trigonometry is a branch of mathematics that deals with the relationship between the angles and sides of triangles. It focuses on the study of trigonometric functions such as sine, cosine, and tangent, which are used to calculate unknown angles or sides of a triangle.

2. How is trigonometry useful in real life?

Ans. Trigonometry has various real-life applications. It is used in architecture to determine the angles and dimensions of buildings. In navigation, trigonometry helps in determining the position and direction of ships and planes. It is also used in engineering, physics, astronomy, and many other fields where angles and distances need to be calculated.

3. What are the trigonometric ratios?

Ans. Trigonometric ratios are ratios that relate the angles of a right triangle to the lengths of its sides. The three primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). They are defined as follows: - Sine (sin) = Opposite side / Hypotenuse - Cosine (cos) = Adjacent side / Hypotenuse - Tangent (tan) = Opposite side / Adjacent side These ratios help in solving trigonometric problems and finding unknown angles or sides of a triangle.

4. How do you find the values of trigonometric ratios?

Ans. The values of trigonometric ratios can be found using a scientific calculator or trigonometric tables. However, most calculators have built-in trigonometric functions that directly provide the values of sine, cosine, and tangent for a given angle. To find the values manually, you can use the lengths of the sides of a triangle and divide them according to the respective trigonometric ratios.

5. What is the Pythagorean identity in trigonometry?

Ans. The Pythagorean identity in trigonometry is a fundamental equation that relates the three primary trigonometric functions (sine, cosine, and tangent) in a right triangle. It is defined as: sin^2(theta) + cos^2(theta) = 1 This identity holds true for any angle theta in a right triangle. It is widely used in trigonometric calculations and proofs involving the relationships between the trigonometric functions.

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Sep 25, 2025 Last updated

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