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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Determine if each statement is true or false. If a statement is false briefly explain why it is not true.
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(a) 1 radian is approximately equal to 57.3◦.
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(b) For any real number t, cos2(t) + sin2(t) = 1
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(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.
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(f) e is exactly equal to 2.71828182846
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(g) ln(1) = 0
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(h) ln(a + b) = ln(a) ln(b)
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(i) Ast→0+,ln(t)→−∞
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(j) arctan (1) = 5π
4
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(k) It is possible for a polynomial of degree 5 to have 6 real zeros.
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(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. -
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