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Introduction to Trigonometry Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Introduction to Trigonometry Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is trigonometry? |  |
Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It involves the study of trigonometric functions such as sine, cosine, and tangent, which are used to calculate various unknown quantities in triangles.
| 2. What are the basic trigonometric functions? | |
Ans. The basic trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions relate the angles of a right triangle to the ratios of the lengths of its sides. Sine is the ratio of the length of the side opposite an angle to the hypotenuse, cosine is the ratio of the length of the side adjacent to an angle to the hypotenuse, and tangent is the ratio of the length of the side opposite an angle to the side adjacent to it.
| 3. How can trigonometry be applied in real-life situations? | |
Ans. Trigonometry has various practical applications in fields such as engineering, physics, architecture, and navigation. It can be used to calculate distances, heights, angles, and trajectories. For example, trigonometry is used in surveying to measure the height of buildings, in physics to calculate forces and motion, and in navigation to determine the location of an object or a ship.
| 4. What is the unit circle in trigonometry? | |
Ans. The unit circle is a circle with a radius of 1 unit that is used in trigonometry to define the values of trigonometric functions for any angle. The coordinates on the unit circle represent the values of sine and cosine for various angles. It provides a visual representation of the relationships between angles, coordinates, and trigonometric functions.
| 5. How can trigonometry help in solving triangles? | |
Ans. Trigonometry provides a set of formulas and methods that can be used to solve triangles. By knowing the lengths of some sides or angles of a triangle, trigonometric functions can be used to find the missing sides or angles. The Law of Sines and the Law of Cosines are two important formulas in trigonometry that can be used to solve triangles in various scenarios.
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