Can a trig function be a polynomial?
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Can a trig function be a polynomial?
The term trigonometric polynomial for the real-valued case can be seen as using the analogy: the functions sin(nx) and cos(nx) are similar to the monomial basis for polynomials. …
How do you tell if a function is a polynomial or not?
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Can polynomial be periodic?
If you are asking if which real or complex polynomial functions are periodic then the answer is that only constant polynomials can be periodic. This is true over any infinite field in fact.
Can sin be a polynomial?
After all, polynomials are functions that are constructed by only adding and multiplying our input variable. For example, although it would take some time to prove this, sin(x) is not a polynomial function (can you find real numbers a0,a1,…,an such that sin(x) = a0 + a1x + ··· anxn?).
What is the difference between polynomial and not polynomial equation?
The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations.
Which of the following is not a polynomial?
Answer (D) x + 3/x + anxn, where an ≠ 0, is called a polynomial in x of degree n. Here, a0, a1, a2, ……, an are real numbers and each power of x is a non-negative integer. Hence, x + 3/x is not a polynomial.
How did you classify a polynomial from a polynomial?
Polynomials can be classified by the degree of the polynomial. The degree of a polynomial is the degree of its highest degree term. The term with the highest degree is called the leading term because it is written first in standard form. The coefficient of the leading term is called the leading coefficient.