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REVIEW : MID TERM EXAM TRIGONOMETRY/TOPICS NAME : _________________________ I Basic Concepts Multiple Choice 1. The smallest positive measure for an angle coterminal with 5000 is a) 8600 b) -2160 c) 1400 d) 600 0 2) An angle of -150 is coterminal with an angle of a) 2100 b) -5100 c) both a and b d) none 3) 1 + cot2θ = ? a) 1 b) tan2 θ c) sec2 θ d) csc2 θ 4) cot 13.50 is a)0.240 b) 4.165 c) -0.240 d)-4.165 5) The distance between A(-3, 0) and B(5, 1) is a) 5 b) 65 c) 41 d) 29 2 6) sin θ csc θ cos θ is a) cot θ b) tan θ c) sec θ d) csc θ 0 0 0 7) The sum of (76 0’ 55”) and (65 65’ 10”) is 141 6’ 5” a) True b0 False 8) . To what angle would you refer to find sin 2400 a) 300 b) 600 c) 900 9) The reference angle of 235 0 is a) 1250 b) 415 0 c) 55 0 10) cot sec cos is equal to a) sin b) cot c) 1 11) (3, 4, 6) is a Pythagorean Triple a) True b) False 0 12) The equivalent of 240 in radian measure is a) 3/5 b) 5/3 c) 4/3 13) The equivalent of -11/6 in degree measure is a) –210 b)- 330 c) –225 0 0 0 0 14) cos( 240 ) cos(60 ) sin( 240 ) sin( 60 ) is a) ½ b) -1/2 c) 1 d) -1 15) 2250 is in what quadrant a) II b) III c) IV d) 45 d) sec d) 0 d) /15 d) –240 d) I II Given the vertices of a triangle : (4, 5), (-3, 2), (0, -4) a) draw the triangle b) find the length of each sides of the triangle c) find the perimeter d) determine if the points are vertices of a right triangle III Evaluate the six trigonometric functions whose terminal side lies in the following points..= Sketch the triangle formed. a) (-3, 4) b) (-5, -2) IV Find the six trigonometric function of a) 5π/3 b) -3π/4 c) 300 0 V Using Trigonometric Identities, find the remaining functions of the following 3 a) cos b) sec 2 2 VI Find all the possible values in the interval 0 0 360 0 2 3 1 a) sin b) tan 3 c) sec 2 3 0 VII Find the missing parts of a right triangle (C = 90 ) given : a) a = 10 A= 550 b) b = 13.5 c = 16.8 VIII Find the exact value of each part labeled with a variable in the given figure. 7 VIII Word Problems. 1. A scanner antenna is on top of the center of the house. The angle of elevation from a point 28 meters from the center of the house to the top of the antenna is 270 10’, and the angle of elevation to the bottom of the antenna is 180 10’. Find the height of the antenna. 2. A passenger in an airplane flying at 8000 ft over the ocean sights two towns. The angles of depressions to the towns are 27 degrees and 39 degrees. Find the distance between the two towns. 3. A 40 ft rope is stretched from the top of a 30 ft pole to the ground. What is the angle of elevation of the rope? 4. Points A and B are on the west-east line and 20 miles apart. Point A detects a plane at C on a bearing of 58020’. Point B simultaneously detects the same plane on a bearing of 328020’. Find the distance from B to C. VI Complete the chart GRAPH SET-BUILDER INTERVAL NOTATION [-5, 5) {x / 5 ≤ x < -2} RECIPROCAL IDENTITIES PYTHAGOREAN IDENTITIES sin 1 / csc csc 1 / sin sin 2 cos 2 1 cos 1 / sec sec 1 / cos 1 tan 2 sec 2 tan 1 / cot cot 1 / tan 1 cot 2 csc 2 QUOTIENT IDENTITIES sin cos cos cot sin tan I 30 60 45 II 150 120 135 III 210 240 225 IV 330 300 315