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Simplify cosx +sinxcotx cosxsinx - cosxcotx 0 2cosx 1 Which of the following expressions is equal to 1-sec4θ ? -2tan2θ -tan4θ tan2θ -tan4θ 2tan2θ -tan4θ -2tan2θ +tan4θ 1 sinx + 1 -2cotxcscx 2sec2x -2tanxsecx 2csc2x Simplify + 1 sinx -1 Simplify cot2x -1 cot2x +1 cannot be simplified 1-cot2x tan2x -1 1-sec2x Simplify (tanx-secx)(tanx+secx) 1 -1 0 sec2x -tan2x Solve 7 - 6sinx = 3 + 2sinx for 0≤θ≤180ο 120ο 180ο 135ο 150ο or 30ο Which of the following are the solutions of cot2x +2 =2cscx on the interval [0,2π) ? 3π/2 0, π π/2, 3π/2 π/2 Solve 2 cot2x - 4= 2 π/6 + nπ/2; 5π/6 + nπ/2 π/6 + nπ; 5π/6 + nπ π/3 + nπ; 2π/3 + nπ π/6 + 2nπ; 7π/6 + 2nπ Solve.... 0 ; 3π/2 0; π/2 π/2 ∏∕2, 3π/2 cotxsinx + cotx =0 Find the exact value of tan155 + tans(-95) 1-tan155tan(-95) 1/√3 -√3 √3/3 √3 √6 - √2 4 √6 + √2 4 Find the exact value of cos15ο. √6/4 √2 Find the magnitude of the horizontal and vertical components of a velocity of 23 mph at an angle of 16ο with the ground. horizontal: 191mph, vertical: 6mph horizontal: 6mph, vertical: 22mph horizontal: 22mph, vertical: 10mph horizontal: 22mph, vertical: 6mph A commercial passenger jet is flying with an airspeed of 135 knots on a bearing of N45οE. If a 32-knot wind is blowing at a bearing of S79οE, determine the velocity and direction of the jet relative to the ground. 120.1 knots, S55οE 129.2 knots, S35οE 155.2 knots, N55οE 155.2 knots, N35οE Find the component form of AB with intial point A(-8,2) and terminal point B(2,9). <6,12> <10,7> <11,12> <11,6> Find the magnitude of AB with initial point A(-4,6) and terminal point B(-1,1). 3.831 6.831 5.831 7.831 Given vectors u=<-2,3> and v=<-2,3> <7,9> <13,9> <-8,12> <-5,9> Find 9u -5v Find a unit vector u with the same direction as x=<-40, 9> <-9/41, 40/41> <-40/49, 9/49> <-40/41, 9/41> <-15/17, 8/17> Find the direction angle of 13i + 15j. 56.65ο 229.09ο 139.09ο 49.09ο An airplane is traveling due east with a velocity of 563mph. The wind blows at 76mph at an angle of S43οE. What is the resultant speed and direction of the plane? 617.3mph, S84.8οE 617.3mph, S5.2οE 620mph, S9.5οE 620.3mph, S85.2οE Find the angle θ between u=<-4,-1> and v=<4,-4> 31ο 121ο 149ο 59ο Find one set of polar coordinates for (-5, 5√3) (10, 2π/3) (5, 2π/3) (2π/3, 10) (-10, 2π/3) Find the rectangular coordinates of (7, 30ο) (-6.06, -3.5) (6.06, -3.5) (6.06, 3.5) (-6.06,3.5) (4, π/3) (5, π/4) (5, π/3) (4, π/4) Name the polar coordinates of the point graphed. A How many triangles are there that satisfy the conditions a=13, b=6 and A =61ο? 0 2 not possible 1 Given a triangle with a=14, A=41ο, and B=34ο What is the length of c? 21.6 20.6 19.6 22.6 5.3 28.1 14.1 10.6 What is the length of a? Given a triangle with b=7, c=9 and A=36ο B 40ο 9 Solve ∆ABC A 60ο (round to the nearest degree or nearest tenth in length) C <A = a = b = ο B a=19, b=20, C=63ο Determine whether ∆ABC should be solved using Law of Sines of Law of Cosines. A C Law of Cosines Law of Sines B Solve...... A 19 (round to nearest degree or nearest tenth in length) 63ο 20 C <A = <B = c = ο ο B A=90ο, b=9, a=18 Determine whether ∆ABC should be solved using Law of Sines of Law of Cosines. A C Law of Cosines Law of Sines B A=90ο, b=9, a=18 Solve ∆ABC..... A C c=15.6, C=60ο, B=30ο c=15.6, B=60ο, C=30ο c=15.6, B=61ο , C=29ο c=15.6, C=61ο , B=29ο Find the area of the triangle with a=15ft, b=22ft and C=30ο. 142.9 82.2 165 285.8 sq ft sq ft sq ft sq ft Find the area of the triangle with a=10ft, b=4ft and c=12ft. 15.7 18.7 20.7 19.7 sq ft sq ft sq ft sq ft |