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Trigonometric Equations Video Lecture | Mathematics (Maths) Class 11 - Commerce

85 videos|243 docs|99 tests

FAQs on Trigonometric Equations Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What are trigonometric equations?
Ans. Trigonometric equations are mathematical equations that involve trigonometric functions such as sine, cosine, and tangent. They typically involve finding the values of angles or sides of a triangle based on given information or conditions.
2. How do you solve a trigonometric equation?
Ans. To solve a trigonometric equation, you need to isolate the trigonometric function and apply inverse trigonometric functions, trigonometric identities, or algebraic manipulations to find the values of the unknown variables. The solutions can be determined by finding the general solution or specific solutions within a given range.
3. What are the common strategies for solving trigonometric equations?
Ans. Some common strategies for solving trigonometric equations include using the unit circle, applying trigonometric identities, factoring, using substitution, applying the Pythagorean identities, or transforming the equation into a quadratic equation. These strategies help simplify the equation and find the solutions.
4. Are there any restrictions or limitations when solving trigonometric equations?
Ans. Yes, there can be restrictions or limitations when solving trigonometric equations. These can arise from the domain of the trigonometric functions, such as restrictions on the range of values or the existence of undefined values. Additionally, some equations may have multiple solutions or require the use of periodicity properties.
5. What are some real-life applications of trigonometric equations?
Ans. Trigonometric equations have numerous real-life applications. They are used in fields such as physics, engineering, navigation, architecture, and astronomy. For example, trigonometric equations can be used to calculate the height of a building, determine the trajectory of a projectile, analyze sound waves, or predict the movement of celestial bodies.
85 videos|243 docs|99 tests

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