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03 - Trigonometry Problem Solving_1 - Class 10 - Maths Video Lecture

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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, and their applications in solving various problems related to angles and distances.
2. How is trigonometry used in real life?
Ans. Trigonometry has numerous applications in real life. It is used in fields such as engineering, architecture, navigation, physics, and astronomy. For example, it is used in calculating the heights of buildings, determining distances between objects, designing bridges and buildings, and analyzing the motion of objects.
3. What are the basic trigonometric ratios?
Ans. The basic trigonometric ratios are sine, cosine, and tangent. These ratios are defined as follows: - Sine (sin): The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. - Cosine (cos): The cosine of an angle in a right triangle is equal to the length of the adjacent side divided by the length of the hypotenuse. - Tangent (tan): The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the adjacent side.
4. How do you solve trigonometry problems?
Ans. To solve trigonometry problems, you need to identify the given information, determine which trigonometric ratio is relevant, set up the appropriate equation or ratio, and solve for the unknown variable. This often involves using trigonometric identities, the Pythagorean theorem, and algebraic manipulation.
5. What is the unit circle in trigonometry?
Ans. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. In trigonometry, the unit circle is used to define the values of trigonometric functions for all angles. Each point on the unit circle corresponds to a specific angle, and the coordinates of the point represent the values of sine and cosine for that angle.
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