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Math Analysis Quarter 2 Review b) Find the mA . 1. a) Find the side. 2. Write a cosine function for each graph: a. b) 3. Write a sine function for each graph: a. b) 4. What is the complement of a) 6 b) 7 5. A 30 foot ladder leans against the side of a building. Find the distance (h) up the side of the building if the angle of elevation of the ladder is 62 degrees. 6. x 2 , find: 4 Look at the equation y 3 cos Amplitude = _____ Period = _______ Phase Shift = ______ Vertical Shift = _______ 7. Given sin x = 3/5, tan x < 0, find the exact value for the other trigonometric functions. 8. Find the Domain for the following: 2x 3 4x 3 a. a) b) 3x 1 2x 1 9. Find the reference angle for the following 5 a. 500 b) 3 c) - 495 c) 7x 2 1 2 10. Using the graph below sketch the transformation y f x 1 11. Graph 3 on a coordinate plane. 5 12. Simplify the express: 3 108 x 5 y 9 z 13 13. Given the point (- 3, - 7) on the terminal side of an angle in standard position, what is the exact value of the six trigonometric functions of that angle. 14. Factor: f(x) = 9x2 – 6x + 1 15. Given sin x = 3 1 , tan x = , find cot x. 2 2 16. Simplify: 24 x 5 y 3 16 x 4 y 17. Given tan 3 and sin 0, find cos 5 18. Rationalize the expression: 2 35 3 19. In which quadrant is the terminal side of 20. Factor completely: x4 – 2x2 + 1 21. Find the zeros: 4 x 2 20x 56 22. Rationalize the expression 3 5 7 . 12 . 7 1 3 x 23. Simplify: 1 3x x2 24. Simplify: 12 x 3 x 4 (3x 2 )3 ( x 1 )2 25. In which quadrant is the terminal side of an angle if its csc 0 and cos 0 ? 26. Convert the following radians to degrees: a) 3 4 b) 11 6 c) 7 12 27. Convert Degrees to Radians. a) 315 b) 135 c) 127 28. Simplify the following: a) sin 2 cos 2 cos b) sec x cos x d) tan x cos x