The Maclaurin polynomial of degree 4 for the function f(x) = cos(x) is %3D

Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Donot solve for the zeros

Consider the functions: f(x) = (cos(x) − sin(x))/cos(2x) and g(x) = 1/(cos(x) + sin(x)) where in both cases the domain consists of those real numbers where the denominator is not zero. Are f and g equal?

Consider the following three functions: f(t) = sin( ¹ ( 77 (t− 2)), 17 ㅠ g(t) = sin ( 77 (t - 4)), h(t) = sin ¹ ( 77 (t + 1)). 3 Use congruence properties to find a positive value for t for which all three functions are simultaneously equal to 0. Explain your reasoning carefully and show all of your computations.