Use the Rational Roots Test to Find All Possible Roots sin(x)

Problem

sin(x)

Solution

1. Identify the nature of the expression. The Rational Roots Test (also known as the Rational Root Theorem) applies specifically to polynomial functions with integer coefficients of the form P(x)=(a_n)*x^n+(a_n−1)*x^(n−1)+⋯+(a_0)

2. Determine if the function is a polynomial. The function ƒ(x)=sin(x) is a transcendental function, not a polynomial function.

3. Conclude the applicability of the test. Because sin(x) cannot be written as a finite polynomial with integer coefficients, the Rational Roots Test cannot be used to find its roots.

Final Answer

The Rational Roots Test is not applicable to *sin(x)* because it is not a polynomial.

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