Grade 11 Exam > Grade 11 Videos > Mathematics for Grade 11 > Trigonometric Functions: Domain and Range
Trigonometric Functions: Domain and Range Video Lecture | Mathematics for Grade 11
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FAQs on Trigonometric Functions: Domain and Range Video Lecture - Mathematics for Grade 11
| 1. What is the domain of trigonometric functions? |  |
Ans. The domain of trigonometric functions is the set of all possible input values for which the function is defined. For most trigonometric functions, such as sine, cosine, and tangent, the domain is all real numbers.
| 2. What is the range of trigonometric functions? | |
Ans. The range of trigonometric functions is the set of all possible output values that the function can take. For sine and cosine functions, the range is between -1 and 1, inclusive. However, for tangent and cotangent functions, the range is all real numbers.
| 3. Can trigonometric functions have infinite or undefined values? | |
Ans. Yes, trigonometric functions can have infinite or undefined values. For example, the tangent function is undefined at certain points where the cosine function is zero, resulting in a vertical asymptote. Additionally, the secant and cosecant functions have infinite values at these points.
| 4. Are there any restrictions on the input values for trigonometric functions? | |
Ans. Yes, there are some restrictions on the input values for trigonometric functions. For example, the arcsine and arccosine functions have a restricted domain between -1 and 1, inclusive. Similarly, the arctangent function has a domain of all real numbers except for ±π/2.
| 5. How do the domain and range of trigonometric functions relate to real-world applications? | |
Ans. The domain and range of trigonometric functions are essential in real-world applications such as physics, engineering, and astronomy. They help determine the limits and restrictions of certain physical phenomena, such as the maximum and minimum values of oscillatory motion or the range of possible angles in celestial calculations. Understanding the domain and range can greatly aid in solving real-world problems involving trigonometric functions.
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Dec 23, 2024 Last updated |
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