Chapter Review 465 Objectives Section You should be able to … Example(s) Review Exercises 6.1 1 Angles and degree measure (p. 383) 1 2 Convert between decimal and degree, minute, second measures for angles (p. 385) 2 48 3 Find the length of an arc of a circle (p. 386) 3 49, 50 4 Convert from degrees to radians and from radians to degrees (p. 387) 4–6 1–4 5 Find the area of a sector of a circle (p. 390) 7 49 6 Find the linear speed of an object traveling in circular motion (p. 390) 8 51, 52 6.2 1 Find the exact values of the trigonometric functions using a point on the unit circle (p. 398) 1 45, 55 2 Find the exact values of the trigonometric functions of quadrantal angles (p. 399) 2, 3 9, 55 3 Find the exact values of the trigonometric functions of π = ° 4 45 (p. 401) 4, 5 5, 6 4 Find the exact values of the trigonometric functions of π = ° 6 30 and π = ° 3 60 (p. 402) 6–8 5, 6 5 Find the exact values of the trigonometric functions for integer multiples of π = ° 6 30 , π = ° 4 45 , and π = ° 3 60 (p. 404) 9, 10 7, 8, 10, 55 6 Use a calculator to approximate the value of a trigonometric function (p. 405) 11 41, 42 7 Use a circle of radius r to evaluate the trigonometric functions (p. 406) 12 46 6.3 1 Determine the domain and the range of the trigonometric functions (p. 413) pp. 413–414 47 2 Determine the period of the trigonometric functions (p. 415) 1 47 3 Determine the signs of the trigonometric functions in a given quadrant (p. 416) 2 43, 44 4 Find the values of the trigonometric functions using fundamental identities (p. 417) 3, 4 11–15 5 Find the exact values of the trigonometric functions of an angle given one of the functions and the quadrant of the angle (p. 419) 5, 6 16–23 6 Use even-odd properties to find the exact values of the trigonometric functions (p. 422) 7 13–15 6.4 1 Graph the sine function = y x sin and functions of the form ω( ) = y A x sin (p. 427) 1, 2 24 2 Graph the cosine function = y x cos and functions of the form ω( ) = y A x cos (p. 429) 3 25 3 Determine the amplitude and period of sinusoidal functions (p. 430) 4 33–38 4 Graph sinusoidal functions using key points (p. 432) 5–7 24, 25, 35 5 Find an equation for a sinusoidal graph (p. 436) 8, 9 39, 40 6.5 1 Graph the tangent function = y x tan and the cotangent function = y x cot (p. 443) 26, 28 2 Graph functions of the form ω( ) = + y A x B tan and ω( ) = + y A x B cot (p. 445) 1, 2 27, 32 3 Graph the cosecant function = y x csc and the secant function = y x sec (p. 447) 30 4 Graph functions of the form ω( ) = + y A x B csc and ω( ) = + y A x B sec (p. 448) 3 29 6.6 1 Graph sinusoidal functions of the form ω φ ( ) = − + y A x B sin (p. 451) 1, 2 31, 35–38, 53(d) 2 Build sinusoidal models from data (p. 455) 3–5 54
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