1. Third Quarter Practice Test Mr. Neusner

2. Use reciprocal and quotient identities Problems 1.If cscθ = 7/4, find sin θ 2.If cos θ = 2/3, find sec θ 3.tan θ = -5, find sec θ Answers 1.sin θ = 4/7 2.sec θ = 3/2 3.tan 2 θ + 1 = sec 2 θ (-5) 2 + 1 = sec 2 θ 25 + 1 = sec 2 θ √26 = sec θ

3. Unit 5.3 Solve for 4tanx - 7 = 3tanx - 6 tanx = 1 (add 7 & subtract 3 from both sides)

4. Matrices Add the two matrices 4 3 -2 1 2 1 3 -1 Answer 2 4 5 0

5. Matrices What are the new dimensions if A x B A B 2 x 8 8 x 5 Answer 2 x 5 Write in augmented form 3x + 2y + z = -3 Answer 3 2 1 -3

6. Parabola Page 423 (y – 4) 2 = 20(x + 2) What is h, k, p? h = -2 k = 4 p = 5 What is the vertex? Focus? Axis of symmetry? Directrix? Graph it! Vertex (-2, 4) Focus (3, 4) Axis of symmetry = 4 Directrix = -7

7. Ellipse Complete the square 3x 2 + y 2 – 42x + 4y + 142 = 0 (x -7) 2 + (y + 2) 2 = 1 3 9 Identify h, k, a, b, c h = 7, k = -2, a = 3, b = √3, c = √6

8. Ellipse – Page 433 (x -7) 2 + (y + 2) 2 = 1 3 9 Identify h, k, a, b, c h = 7, k = -2, a = 3, b = √3, c = √6 What is the center? Foci? Vertices? co-vertices? Major and minor axis? Eccentricity? Center: (7, -2); foci (7, -2 ± √6) Vertices (7,1), (7, -5) covertices (7 ± √3, -2) Major axis: 7, minor axis: -2 Eccentricity √6/3

9. Hyperbola y 2 – x 2 = 1 9 25 What is h, k, a, b, c h = 0, k = 0, a = 3, b = 5, c = √34 What is center? Vertices? Foci? Transverse and conjugate axis? Eccentricity? Center (0,0) Vertices (0, 3), (0, -3) Foci (0, ± √34) Transverse 0: Conjugate 0: eccentricity √34/3