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Trigonometry Formulas Video Lecture | Crash Course for SSC CGL (Hindi)
FAQs on Trigonometry Formulas Video Lecture - Crash Course for SSC CGL (Hindi)
| 1. What are the basic trigonometric ratios in trigonometry? |  |
Ans. The basic trigonometric ratios in trigonometry are sine, cosine, and tangent. These ratios are defined based on the sides of a right triangle. The sine of an angle is the ratio of the length of the side opposite to the angle to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. And the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
| 2. How do you find the value of a trigonometric ratio using a unit circle? | |
Ans. To find the value of a trigonometric ratio using a unit circle, you can draw a circle with a radius of 1 unit and place it on a coordinate plane. The x-coordinate of the point where the terminal side of the angle intersects the unit circle represents the cosine value, and the y-coordinate represents the sine value. For example, if the angle is 30 degrees, you can locate the point (cos 30°, sin 30°) on the unit circle to find the values of cosine and sine.
| 3. What is the Pythagorean identity in trigonometry? | |
Ans. The Pythagorean identity in trigonometry is a fundamental relationship between the three basic trigonometric functions: sine, cosine, and tangent. It states that for any angle θ, the square of the sine of θ plus the square of the cosine of θ equals 1. Mathematically, it can be written as sin²θ + cos²θ = 1. This identity is derived from the Pythagorean theorem and is used to simplify trigonometric expressions and solve trigonometric equations.
| 4. How do you find the value of a trigonometric ratio using a right triangle? | |
Ans. To find the value of a trigonometric ratio using a right triangle, you need to identify the relevant sides of the triangle based on the given angle. For example, if you are looking for the sine of an angle, you would consider the length of the side opposite to the angle and the length of the hypotenuse. Then, you can divide the length of the opposite side by the length of the hypotenuse to find the sine value. Similarly, you can use the lengths of other sides to find the values of cosine and tangent.
| 5. How are trigonometric ratios used in real-life applications? | |
Ans. Trigonometric ratios are used in various real-life applications, including engineering, physics, navigation, and architecture. For example, engineers use trigonometry to calculate the height of buildings or the length of bridges. Physicists use trigonometry to analyze the motion of objects and the behavior of waves. Navigators use trigonometry to determine the position and direction of ships or aircraft. Architects use trigonometry to design structures and ensure their stability. Overall, trigonometric ratios are essential in solving problems involving angles and distances in real-world scenarios.
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