rock.freak667 said:
Polynomials are mathematical expressions that involve variables and coefficients and only use addition, subtraction, and multiplication operations. They can have any number of terms and the highest exponent of the variable is called the degree of the polynomial.
A polynomial is an algebraic expression while a trigonometric function is a mathematical function that involves angles and ratios of sides of a right triangle. Polynomials can have both positive and negative powers of variables while trigonometric functions only have positive powers.
Polynomials are used in various fields of science and engineering to model and solve problems involving quantities that can change. Trigonometric functions are used in navigation, physics, and engineering to calculate distances and angles. They are also used in sound and light waves, as well as in music and art.
Trigonometric identities are equations that involve trigonometric functions. These identities can be simplified and written in the form of polynomials using the unit circle and other geometric concepts. This allows for easier manipulation and solving of trigonometric equations.
Polynomials and trigonometric functions are both types of mathematical functions. They can interact with each other in various ways, such as in the process of graphing trigonometric functions where polynomials are used to approximate the curves. They can also be combined in equations to solve problems that involve both algebraic and trigonometric concepts.