PRECALC-043-T003: Precalculus, Part 2 (TL) / Review Quiz 2 1. Use the matrices below to compute the matrix combination of /DO. Be sure to show your work for each operation -6 8 E = "15 13 -13 .9 9 -4 D = -9 -6 C = & # V Bi U Font Family 2. Let a and 8 be two acute angles of a right triangle in a unit circle. (Thus o and # are complementary angles.) a. Show that sin (o) = cos(#) and sin (8) = cos(a)2. Let a and ( be two acute angles of a right triangle in a unit circle. (Thus or and / are complementary angles.) a. Show that sin (o) = cos(B) and sin (B) = cos(or) b. Under what conditions will sin(a) = cos(a) Bi U Font Family AA - A #V E 3. Use the x and y-coordinates from the unit circle to complete values for the trigonometric functions in the table.003: Frecalculus, Part 2 (TD) / Review Quiz 2 ? Nidhay Mahavadi B U Font Family AA - A 4. A marketplace in Australia is in the shape of an ellipse. We can assume the center of the marketplace is at the point (0, 0), the location of one of the foci is at the point (78, 0), and the length of the minor axis is 86. Determine the location of each of the vertices of the marketplace. Assume that the major length is horizontal and round your answer to the nearest thousand if needed. B Font Family AA - A 0 =. 1 5. Four circles are connected as shown below. The circles can be colored in with either orange, green, or purple. However the circle labeled "C" cannot be connected to another circle of the same color. a. How many different color arrangements exist? b. Is this a permutation or combination question? Explain your reasoning.5. Four circles are connected as shown below. The circles can be colored in with either orange, green, or purple. However the circle labeled. C' cannot be connected to another circle of the same color. a. How many different color arrangements exist? b. Is this a permutation or combination question? Explain your reasoning. A D B7. The expression (6 + 3z) represents a power of a complex number. a. Is this representation in polar or Cartesian form? Why? b. What power is the complex number raised to? c. Evaluate this power, leaving your answer in Cartesian form. B i U Font Family AA - A