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Math 1060 – 003 Camacho Summer 2012 Final Exam Review Final Exam Review Section 4.1 Convert Degrees to Radians and Radians to Degrees Calculate Conterminal Angles Section 4.2 Understand the Unit Circle Find the six trigonometric functions using the unit circle Section 4.3 Solve right triangles Calculate all other trigonometric functions from knowing a single trigonometric function Section 4.4 Find all six trigonometric functions knowing a point in the plane Section 4.5 Given equation or graph of a trigonometric function, identify the following: o Amplitude o Angular Frequency o Period o Frequency o Max and Min values o Vertical Shift Section 4.7 Calculate inverse sine, cosine, and tangent of an angle Find both solutions of an inverse trig function between 0 and 360, or 0 and . Math 1060 – 003 Camacho Find all solutions to a trigonometric equation using algebra and inverse trig functions. Section 4.8 Solve word problems using right triangle trigonometry. Section 5.1 Reciprocal Identities Pythagorean Identities Odd/Even Identities Co-function Identities Simplify trigonometric expression Evaluating the other five trigonometric functions knowing only one function. Section 5.2 Verify trigonometric identities using the identities in section 5.1 Section 5.3 Summer 2012 Final Exam Review Solve trigonometric equations using the identities in section 5.1 Section 5.4 Sum and difference formulas Evaluating expressions using sum and difference formulas Solving equations using sum and difference formulas Section 5.5 Double angle formulas Half Angle formulas Power reduction formula Evaluate expressions using double and half angle formulas Solve equations using double and half angle formulas Math 1060 – 003 Camacho Section 6.1 Law of sines Solve triangles using the law of sines Determine whether there are zero, one, or two solutions to a triangle. Section 6.2 Law of cosines. Solve right triangles using Law of Sines and Law of Cosines. Use Heron’s formula to find the area of a triangle. Section 6.3 Vector addition, subtraction, scalar multiplication Convert vector from rectangular form to polar form Convert vector from polar form to rectangular form Represent displacement, velocity, and force as vectors Solve word problems using vectors Section 6.4 Find the dot product of two vectors Find the angle between two vectors Determine whether two vectors are orthogonal Section 6.5 Find the modulus and argument of a complex number Write a complex number in its trigonometric form Add, subtract, multiply and divide complex numbers Raise complex numbers to the nth power. Find all nth roots of a complex number. Summer 2012 Final Exam Review Math 1060 – 003 Camacho Summer 2012 Final Exam Review Practice Problems Section 4.1: 17 – 20, 47 – 70 Section 4.2: 1 – 4, 13 – 22, 29 – 36, 37 – 42 Section 4.3: 1 – 16, 59 – 62, 63 – 67 Section 4.4: 1 – 24 Section 4.5: 1 – 14, 35 – 56, 63 – 70 Section 4.7: 1 – 16, 19 – 34, 37 – 42 Section 4.8: 15 – 40 Section 5.1: 1 – 14, 27 – 44, 45 – 56, 61 – 64 Section 5.2: 1 – 10 Section 5.3: 7 – 34 Section 5.4: 7 – 22, 37 – 50 Section 5.5: 1 – 18, 35 – 40, 49 – 54 Section 6.1: 1 – 18, 19 – 24, 25 – 28, 29 – 34, 35 – 43 Section 6.2: 1 – 16, 23 – 28, 29 – 43 Section 6.3: 21 – 28, 29 – 38, 47 – 52, 65 – 68, 73 – 76 Section 6.4: 1 – 8, 9 – 18, 25 – 34 Section 6.5: 11 – 30, 31 – 40, 47 – 58, 59 – 66, 71 – 88, 89 – 104