1. 5, 12, 19, 26, 33, ... is the sequence geometric or geometric, what is the 25th term? 2. Is the following the sum of an arithmetic sequence, a geometric sequence, or neither. What is the sum? 6 k 5 4 k=1 3. what is coterminal with 710 . 4. what is the exact value of: sec 405 , tan (120 ) . (no decimal approximations) 5. Solve the trigonometric equation (cos x)(2cos x + 1)= 0 in the interval [0, 360 ) Find the exact values. 5 3 6 ) 6.what is the exact value of arcsin and arccos (sin 2 sin 7. the point ( 4, 330 ) is polar coordinates find the corresponding point in rectangular coordinates. Exact value no decimal approximations 8. Given the point (-5,5) in rectangular coordinates, find a corresponding point in polar coordinates. Express the angle in radians. 9. For the parabola given by and focus. 2 x4 =8 ( y +6 ) , find: direction parabola opens, vertex, 10. A building contractor is planning to use a ladder to reach a window. If a 20-ft ladder leans against the building, with an angle of elevation of 70, how far up the building will the ladder reach? Will the contractor be able to reach a window 18 feet above ground level? Show work. 11. An ellipse has the equation 2 x +9 y2 2 (a) Is the major axis horizontal or vertical? (b) Find the exact values of the foci of the ellipse. Show work. 5 that is a Quadrant IV angle. 13 Find the exact value of sin Find the exact value of sin (2 ) 12. Suppose that cos = 2 13. Prove the identity cos xsin x =sin(2 x ) 1 14. For the triangle ABC, we are given that Find the length of side a A=46 , B=64 ,c=35.0 15. Solve the system of equations, using Gaussian elimination with or without matrices, or Gauss-Jordan elimination Show work. x +2 yz=3 x3 y +2 z=2 2 x + y2 z=3