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03 - Derivation of Trigonometric Ratios (Value Table) - Class 10 - Maths Video Lecture

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FAQs on 03 - Derivation of Trigonometric Ratios (Value Table) - Class 10 - Maths Video Lecture

1. What are trigonometric ratios?
Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. The three main trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).
2. How are trigonometric ratios derived?
Trigonometric ratios are derived by dividing the lengths of the sides of a right triangle. For example, the sine ratio (sin) is calculated by dividing the length of the side opposite the angle by the length of the hypotenuse. The cosine ratio (cos) is calculated by dividing the length of the adjacent side by the length of the hypotenuse. Finally, the tangent ratio (tan) is calculated by dividing the length of the side opposite the angle by the length of the adjacent side.
3. What is the purpose of a value table for trigonometric ratios?
A value table for trigonometric ratios provides the corresponding values of the ratios for different angles. It allows us to quickly determine the values of sine, cosine, and tangent for common angles, which is useful in solving trigonometric problems and equations.
4. How can I use a value table to find the trigonometric ratio of a given angle?
To use a value table, locate the given angle in the table. Then, find the corresponding values of sine, cosine, and tangent for that angle. These values can be used directly in calculations or to compare with other angles.
5. Can I use a calculator to find the trigonometric ratios instead of a value table?
Yes, calculators can be used to find the trigonometric ratios of any angle. Most scientific calculators have built-in trigonometric functions (sin, cos, tan) that can provide accurate values for any given angle. However, value tables are still useful for quick reference and when calculators are not available.
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