Stitz-Zeager_College_Algebra_e-book

We know from theorem 117 that a r cos and b r sin

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Unformatted text preview: , , 32 32 1 1 (d) x y 7π 11π , −12, 6 6 5π 17π 12, , 12, 6 6 12, − 6 3 −12 −9 −6 −3 x 11.4 Polar Coordinates 795 y (e) (−20, 3π ), (−20, π ) (20, −2π ), (20, 4π ) 1 −20 −10 10 20 −1 (f) 5π 4 7π 4, − 4 −4, y π 4 9π 4, 4 , 4, , 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 x −2 −3 −4 √ √ 52 52 2. (a) ,− 2 2 √ (b) 1, 3 3. (a) (b) π 5, 2 √ π 12, 6 4. (a) x2 + y 2 = 49 √ (b) y = − 3x (c) (x − 2)2 + y 2 = 4 5. (a) r = 3 sec(θ) (b) r = 7 csc(θ) (c) r = √ 117 (c) √ 11 3 11 − , 2 2 (e) 0, 3 5 (f) (−4.62, −6.29) (d) (20, 0) √ 7π 7 2, 4 √ 65, 3.02 (d) √ (e) (c) 12, 7π 6 (f) (3, π ) (d) x2 + y 2 2 = 2xy (e) x2 + 2x + y 2 (f) x2 + y 2 + y 2 2 = x2 + y 2 = x2 + y 2 19 4 cos(θ) − sin(θ) 1 (e) r = − tan(θ) sec(θ) 3 (f) r = 6 sin(θ) (d) r = 6. Any point of the form (0, θ) will work, e.g. (0, π ), (0, −117), 0, 23π 4 and (0, 0). x 796 11.5 Applications of Trigonometry Graphs of Polar Equations In this section, w...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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