Chapter Review 463 Linear speed: = v s t (p. 390) v is linear speed, distance per unit time. Angular speed: ω θ = t (p. 391) ω = v r (p. 391) ω is angular speed measured in radians per unit time. Table of Values (pp. 400 and 403) θ (Radians) θ (Degrees) θ sin θ cos θ tan θ csc θ sec θ cot 0 0° 0 1 0 Not defined 1 Not defined 6 π 30° 1 2 3 2 3 3 2 2 3 3 3 4 π 45° 2 2 2 2 1 2 2 1 3 π 60° 3 2 1 2 3 2 3 3 2 3 3 2 π 90° 1 0 Not defined 1 Not defined 0 π 180° 0 1− 0 Not defined 1− Not defined 3 2 π 270° 1− 0 Not defined 1− Not defined 0 The Unit Circle (pp. 397–405) x p– 4 p– 3 p– 6 (1, 0) (0, 1) (0, 21) (21, 0) p 0, 2p p– 2 3p –– 2 7p –– 4 3p –– 4 5p –– 6 7p –– 6 11p ––– 6 4p –– 3 5p –– 3 2p –– 3 5p –– 4 3308 3008 2408 2108 1508 308 1208 608 908 2708 08, 3608 1808 3158 2258 1358 458 y 1 – 2 ( ) , 2 –– 2 3 1 – 2 ( ) , –– 2 3 1 – 2 ( ) , 2–– 2 3 1 – 2 ( ) , –– 2 3 1 – 2 ( ) , 2 2–– 2 3 1 – 2 ( ) , 2 –– 2 3 ( ) , 2 –– 2 2 –– 2 2 ( ) , –– 2 2 –– 2 2 1 – 2 ) , 2 –– 2 3 ( 2 1 – 2 ) , –– 2 3 ( 2 ( ) , 2 2 –– 2 2 –– 2 2 ( ) , 2–– 2 2 –– 2 2 Fundamental identities (p. 419) Quotient identities: θ θ θ θ θ θ = = tan sin cos cot cos sin Reciprocal identities: θ θ θ θ θ θ = = = csc 1 sin sec 1 cos cot 1 tan Pythagorean identities: θ θ θ θ θ θ + = + = + = sin cos 1 tan 1 sec cot 1 csc 2 2 2 2 2 2
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