Trigonometry Video Lecture | Crash Course for EmSAT Achieve

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1. How are trigonometric functions used in real-life applications?
Ans. Trigonometric functions are used in various real-life applications such as architecture, engineering, physics, and navigation. They help in measuring distances, angles, and heights, and are essential in calculating trajectories, designing buildings, and predicting the movement of objects.
2. What is the unit circle and how is it related to trigonometry?
Ans. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. It is closely related to trigonometry as it helps in visualizing the values of trigonometric functions for different angles. The coordinates of points on the unit circle correspond to the values of sine and cosine functions for those angles.
3. How can we determine the values of trigonometric functions for non-standard angles?
Ans. Trigonometric functions for non-standard angles can be determined using the unit circle, trigonometric identities, and reference angles. By finding the reference angle, which is an acute angle formed between the terminal side of the non-standard angle and the x-axis, we can determine the values of sine, cosine, and other trigonometric functions.
4. What are the primary trigonometric ratios and how are they calculated?
Ans. The primary trigonometric ratios are sine, cosine, and tangent. They are calculated using the sides of a right triangle. Sine is calculated by dividing the length of the side opposite the angle by the hypotenuse, cosine is calculated by dividing the length of the adjacent side by the hypotenuse, and tangent is calculated by dividing the length of the opposite side by the adjacent side.
5. How can trigonometry be used to solve real-life problems involving angles and distances?
Ans. Trigonometry can be used to solve real-life problems by utilizing trigonometric functions, the Pythagorean theorem, and other trigonometric identities. By setting up equations based on the given information, such as angles and distances, and using trigonometric ratios, we can solve for unknown values and find solutions to problems involving navigation, surveying, and physics.
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