Trig Final Exam
 Simplify cosx +sinxcotxcosxsinx - cosxcotx02cosx1 Which of the following expressions is equal to  1-sec4θ ?-2tan2θ -tan4θtan2θ -tan4θ2tan2θ -tan4θ -2tan2θ +tan4θ         1sinx + 1-2cotxcscx2sec2x-2tanxsecx2csc2xSimplify+     1sinx -1 Simplifycot2x -1cot2x +1cannot be simplified1-cot2xtan2x -11-sec2x Simplify (tanx-secx)(tanx+secx) 1-10sec2x -tan2x Solve 7 - 6sinx = 3 + 2sinx  for 0≤θ≤180ο120ο180ο135ο150ο or 30ο Which of the following are the solutionsof  cot2x +2 =2cscx  on the interval [0,2π) ?3π/20, ππ/2, 3π/2π/2 Solve   2 cot2x - 4= 2π/6 + nπ/2; 5π/6 + nπ/2π/6 + nπ;   5π/6 + nππ/3 + nπ; 2π/3 + nππ/6 + 2nπ; 7π/6 + 2nπ Solve....0 ; 3π/20; π/2π/2  ∏∕2, 3π/2cotxsinx + cotx =0 Find the exact value oftan155 + tans(-95)1-tan155tan(-95)1/√3-√3√3/3√3 √6 - √2         4√6 + √2          4Find the exact value of cos15ο.√6/4√2 Find the magnitude of the horizontaland vertical components of a velocityof 23 mph at an angle of 16ο with theground.horizontal: 191mph, vertical: 6mphhorizontal: 6mph, vertical: 22mphhorizontal: 22mph, vertical: 10mphhorizontal: 22mph, vertical: 6mph A commercial passenger jet is flying withan airspeed of 135 knots on a bearingof N45οE.  If a 32-knot wind is blowingat a bearing of S79οE,determine the velocity and directionof the jet relative to the ground.120.1 knots, S55οE129.2 knots, S35οE155.2 knots, N55οE155.2 knots, N35οE Find the component form of AB withintial point A(-8,2) and terminalpoint B(2,9).<6,12><10,7><11,12><11,6> Find the magnitude of AB with initialpoint A(-4,6) and terminal pointB(-1,1).3.8316.8315.8317.831 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 directionas 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.56.65ο229.09ο139.09ο49.09ο An airplane is traveling due east with avelocity of 563mph.  The wind blows at76mph at an angle of S43οE.What is the resultant speed and directionof the plane?617.3mph, S84.8οE617.3mph, S5.2οE620mph, S9.5οE620.3mph, S85.2οE Find the angle θ between u=<-4,-1> and v=<4,-4>31ο121ο 149ο59ο 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 satisfythe conditions a=13, b=6 and A =61ο?02not possible1 Given a triangle with a=14, A=41ο, and B=34οWhat is the length of c? 21.620.619.622.6 5.328.114.110.6What is the length of a?Given a triangle with b=7, c=9 and A=36ο B40ο9Solve ∆ABCA60ο(round to the nearest degree ornearest tenth in length)C
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