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Transcendental Functions Such as Exponential, Trigonometric, and Hyperbolic Functions Video Lecture | CSIR NET Crash Course for Mathematics - CSIR NET Mathematics
FAQs on Transcendental Functions Such as Exponential, Trigonometric, and Hyperbolic Functions Video Lecture - CSIR NET Crash Course for Mathematics - CSIR NET Mathematics
| 1. What are some common transcendental functions encountered in mathematics? |  |
Ans. Some common transcendental functions include exponential functions, trigonometric functions, and hyperbolic functions. These functions cannot be expressed in terms of a finite sequence of algebraic operations.
| 2. How are exponential functions defined? | |
Ans. Exponential functions are functions of the form f(x) = a^x, where 'a' is a constant called the base of the exponential function. These functions grow or decay exponentially as x varies.
| 3. What are some important properties of trigonometric functions? | |
Ans. Trigonometric functions such as sine, cosine, and tangent have periodic behavior, meaning they repeat in a regular pattern. They are also important in describing oscillatory phenomena.
| 4. How do hyperbolic functions differ from trigonometric functions? | |
Ans. Hyperbolic functions are analogs of trigonometric functions that are defined using exponential functions. They have similar properties to trigonometric functions but differ in their definitions and relationships.
| 5. In what contexts are transcendental functions commonly used in mathematics? | |
Ans. Transcendental functions are used in a wide range of mathematical applications, including modeling growth and decay in natural processes, describing periodic phenomena, and solving differential equations.
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Dec 22, 2024 Last updated |
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