<p> Chapter 7 Review</p><p>Section Topics What you should be able to do Measurement of Angles Find the measure of an angle in either degrees or radians 7-1 Find coterminal angles Sectors of Circles Find the arc length and area of a sector of a circle 7-2 Solve problems involving apparent size The Sine and Cosine Functions Use the definitions of sine and cosine to find values of these 7-3 functions Solve simple trigonometric equations Evaluating and Graphing Sine and Use reference angles, calculators or tables and special angles 7-4 Cosine to find values of the sine and cosine functions Sketch the graphs of these functions The other Trigonometric Functions Find values of tangent, cotangent, secant, and cosecant 7-5 functions Sketch the functions’ graphs 7-6 The Inverse Trigonometric Functions Find values of the inverse trigonometric functions</p><p>Converting degrees to radians: </p><p>Converting radians to degrees:</p><p>Converting decimal degrees to degrees/minutes/seconds:</p><p>Converting degrees/minutes/seconds to decimal degrees:</p><p> s = </p><p> k =</p><p> apparent size =</p><p>The 6 trigonometric functions:</p><p>The inverse functions:</p><p>Vocabulary you should know: Angle, initial ray, terminal ray, degree, minute, second, radian, standard position, coterminal angles, length of arc, area of a sector, sine & cosine functions, unit circle, circular function, reference angle, tangent & cotangent functions, secant & cosecant functions, Tan-1, Sin-1, Cos-1 Practice problems:</p><p>1. a. Convert -90 to radians. Give the answer in terms of . b. Convert 212 to radians. Give the answer to the nearest hundredth.</p><p>7p 2. a. Convert 3 radians to degrees. b. Convert 3.5 radians to degrees. Give the answer to the nearest minute or tenth of a degree.</p><p>3. Find two angles, one positive and one negative, that are coterminal with each given angle. a. -100 b. 320.3 7p c. 4 d. 22040’</p><p>4. A sector of a circle has radius 5 cm and central angle 137. Find its approximate arc length and area.</p><p>5. The sun is about 9 x 107 mi from Earth, and its apparent size is about .0043 radians. What is the sun’s approximate diameter?</p><p>6. Find sin and cos. a. b. c. </p><p>(- 3 , 1)</p><p>(-1, -1) (0, -1)</p><p>7. Complete each statement with one of the symbols <, >, or =. a. sin 70 ___ sin 65 b. cos 70 ___ cos 65 c. sin 313 ___ sin 314 d. cos 40 ___ cos 320 e. sin 30 ___ cos 60 d. cos 13 ___ sin 77</p><p>8. Give the exact value of each expression or state that the value is undefined. 5p 5p a. sin 6 b. cos (-180) c. sin 210 d. cos 6 2p e. tan (-) b. sec 3 c. cot (-60) d. csc 135</p><p>1 p 9. If cot x = - 3 where 2 < x < , find the values of the other five trigonometric functions</p><p>10. Give the exact value of each expression. a. Tan-1 ( - 3 ) b. sec (Sin-1 1 ) c. csc (Cos-1 (- 3 )) 3 2 5</p><p>11. To obtain the inverse cosine function, we restrict the domain of f (x) = cosx to 0 Ј x Ј p . Explain why this restriction is necessary. </p>