ExamView - PreCalc Semester 2 Final Exam Study Guide
Name: Class: Date:ID: APreCalculus: Semester 2 Final Exam Study GuideShort Answer1. Draw the angle.8. In the problem, t is a real number and P (x, y)is the point on the unit circle that corresponds tot. Find the exact value of the indicatedtrigonometric function of t.-2. Convert the angle to a decimal in degrees.Round the answer to two decimal places.(22 54'35'',) Find sec t.9. Find the exact value. Do not use a calculator.3. Convert the angle to D M' S'' form. Round theanswer to the nearest second.sin 2π10. Find the exact value. Do not use a calculator.183.82 csc (-4. If s denotes the length of the arc of a circle ofradius r subtended by a central angle θ, find themissing quantity. Round to one decimal place, ifnecessary.)11. Find the exact value of the expression. Do notuse a calculator.r 14.8 inches, θ 315 , s ?tan5. Convert the angle in degrees to radians. Expressthe answer as multiple of π.- cos12. A point on the terminal side of an angle θ isgiven. Find the exact value of the indicatedtrigonometric function of θ.54 6. Convert the angle in radians to degrees.(3, -2) Find tan θ.13. Use the fact that the trigonometric functions areperiodic to find the exact value of theexpression. Do not use a calculator.7. If A denotes the area of the sector of a circle ofradius r formed by the central angle θ, find themissing quantity. If necessary, round the answerto two decimal places.csc 540 14. Name the quadrant in which the angle θ lies.r 7 feet, A 56 square feet, θ ?csc θ 0, sec θ 01
Name:ID: A19. Graph the function.15. In the problem, sin θ and cos θ are given. Findthe exact value of the indicated trigonometricfunction.sin θ , cos θ y cot x 1Find sec θ.16. Find the exact value of the indicatedtrigonometric function of θ.tan θ , 180 θ 270 Find cos θ.17. Use the even-odd properties to find the exactvalue of the expression. Do not use a calculator.csc (-60 )20. Find the exact value of the expression.18. Use transformations to graph the function.sin-1y 5 sin x21. Find the exact value of the expression. Do notuse a calculator.sin-122. Find the exact value of the expression.sin23. Find the exact value of the expression.tan24. Find the exact value of the expression.sin 265 cos 25 - cos 265 sin 25 2
Name:ID: A25. Find the exact value under the given conditions.26. Find the value of the indicated trigonometricfunction of the angle θ in the figure. Give anexact answer with a rational denominator.30. Two sides and an angle are given. Determinewhether the given information results in onetriangle, two triangles, or no triangle at all.Solve any triangle(s) that results.a 26, b 20, B 15 31. Find the area of the triangle. If necessary, roundthe answer to two decimal places.A 23 , b 9,32. Plot the point given in polar coordinates.Find sec θ.27. Solve the right triangle using the informationgiven. Round answers to two decimal places, ifnecessary.a 8, B 30 ; Find b, c, and A.28. Solve the problem.A radio transmission tower is 150 feet tall. Howlong should a guy wire be if it is to be attached 5feet from the top and is to make an angle of 20 with the ground? Give your answer to the nearesttenth of a foot.33. The polar coordinates of a point are given. Findthe rectangular coordinates of the point.(4, 70 ) Round the rectangular coordinates to twodecimal places.29. Solve the triangle.34. The letters x and y represent rectangularcoordinates. Write the equation using polarcoordinates (r, θ).B 20 , C 30 , a 25x 7y 93
Name:ID: A35. Transform the polar equation to an equation inrectangular coordinates. Then identify andgraph the equation.39. Find all the complex roots. Leave your answersin polar form with the argument in degrees.The complex fifth roots of -2ir 2 sin θ40. Use the vectors in the figure below to graph thefollowing vector.36. Plot the complex number in the complex plane.2u - z - w-8 i41. Find the indicated quantity.37. Find zw orFind u v given u -9i - 4j and v -7i 9j.as specified. Leave your answer42. Find the quantity if v 5i - 7j and w 3i 2j.in polar form. z 10(cos 45 i sin 45 )w 5(cos 15 i sin 15 )Find43. Use the TABLE feature of a graphing utility tofind the limit.38. Write the expression in the standard form a bi.34
Name:ID: A44. Use the graph shown to determine if the limitexists. If it does, find its value.46. Find the limit algebraically.lim (x -)(x )f(x)47. Find the one-sided limit.(x2 - 3x - 5)48. Determine whether f is continuous at c.f(x) ;c 749. Determine whether f is continuous at c.45. Use the grid to graph the function. Find thelimit, if it existsf(x) f(x), f(x) ;c 150. Find the numbers at which f is continuous. Atwhich numbers is f discontinuous?f(x) 51. Find the slope of the tangent line to the graph atthe given point.f(x) x2 5x at (4, 20)52. Find the derivative of the function at the givenvalue of x.f(x) x3 4x; x -2Essay53. Prove:5
ID: APreCalculus: Semester 2 Final Exam Study GuideAnswer SectionSHORT ANSWER1. ANS:PTS: 12. ANS:22.91 PTS: 13. ANS:183 49'12''PTS: 14. ANS:81.4 in.PTS: 15. ANS:PTS: 16. ANS:36 PTS: 17. ANS:2.29 radiansPTS: 18. ANS:PTS: 11
ID: A9. ANS:0PTS: 110. ANS:0PTS: 111. ANS:-PTS: 112. ANS:-PTS: 113. ANS:undefinedPTS: 114. ANS:IPTS: 115. ANS:PTS: 116. ANS:-PTS: 117. ANS:2PTS: 12
ID: A18. ANS:PTS: 119. ANS:PTS: 120. ANS:PTS: 121. ANS:PTS: 13
ID: A22. ANS:PTS: 123. ANS:2PTS: 124. ANS:-PTS: 125. ANS:PTS: 126. ANS:sec θ PTS: 127. ANS:b 4.62c 9.24A 60 PTS: 128. ANS:424.0 ftPTS: 129. ANS:A 130 , b 0.89, c 1.31PTS: 130. ANS:two trianglesA1 19.66 , C1 145.34 , c1 43.95 orA2 160.34 , C2 4.66 , c2 6.28PTS: 14
ID: A31. ANS:3.52PTS: 132. ANS:PTS: 133. ANS:(1.37, 3.76)PTS: 134. ANS:r(5 cos θ 7 sin θ) 9PTS: 135. ANS:x2 (y - 1)2 1; circle, radius 1, center at (0, 1) in rectangular coordinatesPTS: 15
ID: A36. ANS:PTS: 137. ANS:2(cos 30 i sin 30 )PTS: 138. ANS:-4-4iPTS: 139. ANS:(cos 54 i sin 54 ),(cos 126 i sin 126 ),(cos 198 i sin 198 ),PTS: 140. ANS:PTS: 141. ANS:-16i 5jPTS: 16(cos 270 i sin 270 ),
ID: A42. ANS: PTS: 143. ANS:2PTS: 144. ANS:2PTS: 145. ANS:-1PTS: 146. ANS:-5PTS: 147. ANS:-1PTS: 148. ANS:not continuousPTS: 149. ANS:not continuousPTS: 150. ANS:continuous for all real numbers except x -2 and x 2PTS: 151. ANS:13PTS: 152. ANS:16PTS: 17
ID: AESSAY53. ANS:PTS: 18
Name: _ ID: A 2 15. In the problem, sin θ and cos θ are given. Find the exact value of the indicated trigonometric function. sin θ , cos θ Find sec θ. 16. Find the exact value of the indicated trigonometric function of θ. tan θ , 180 θ 270 Find cos θ. 17. Use the even-odd properties to find the exact
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PreCalc B Second Semester Final Exam Review I.##Linear#velocity,#angular#velocity,#and# arc#length.! 1A.θ 4
Name_ Period _ This review counts as a quiz grade. You must show work to receive credit. Due at the BEGINNING of your final. PreCalc Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the que
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A Correlation of Precalculus Graphical, Numerical, Algebraic Common Core, 2015 to the Florida Mathematics Standards for Pre-Calculus Honors (CPalms #1202340) 2 Modeling Standard SE Student Edition TE Teacher’s Edition Florida Mathematics Standards for Probability & Statistics with Applications Honors (CPalms #1202340) Precalculus
ARCHAEOLOGICAL ILLUSTRATION 13 HOME PAGE WHY DRAW? EQUIPMENT START HERE: TECHNIQUES HOW TO DRAW MORE ACTIVITIES LINKS Drawing pottery The general aim when drawing pottery is not only to produce an accurate, measured drawing but also to show the type of pot. Sh ape (or form) and decoration are therefore important. Many illustrators now include extra information to show how a pot was .
