Determine if each statement is true or false. If a statement is false briefly explain why it is not true. (a)  1 radian is approximately equal to 57.3◦. (b)  For any real number t, cos2(t) + sin2(t) = 1 (c)  π radians is equal to 360◦

Determine if each statement is true or false. If a statement is false briefly explain why it is not true.

• (a)  1 radian is approximately equal to 57.3◦.

• (b)  For any real number t, cos2(t) + sin2(t) = 1

• (c)  π radians is equal to 360◦

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• (e)  If the terminal side of an angle t drawn in standard position is in quadrant IV then cos(t) is positive.

• (f)  e is exactly equal to 2.71828182846

• (g)  ln(1) = 0

• (h)  ln(a + b) = ln(a) ln(b)

• (i)  Ast→0+,ln(t)→−∞

• (j)  arctan (1) = 5π

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• (k)  It is possible for a polynomial of degree 5 to have 6 real zeros.

• (l)  It is possible for a polynomial of degree 5 to have 4 turning points.

(m)Letr(x)=p(x) be a rational function.Ifp(a)=0 and q(a)̸=0 then x=a is a q(x)

vertical asymptote of r.
(n) If p(x) is a polynomial then its domain is the set of all real numbers.