1. sin^2x + cos^2x always equals...

2. tan^2x + 1 always equals...

3. csc^2x - 1 always equals...

4. You start with (cot x). You then divide this by (csc x). Then you multiply this by (tan x). Then you divide this by (cos x). What do you end up with?

5. x^2/51 - y^2/33 = 1. Find the eccentricity, correctly rounded to 3 decimal places.

6. y^2/333 + x^2/11 = 1. Find the eccentricity, correctly rounded to 3 decimal places. Remember to TYPE THE ZERO!

7. The angle is 13π/6. The cosine value is...
A) -√3/2
B) -1/2
C) 1/2
D) √3/2

8. The angle is 27π/6. The tangent value is....
A) undefined
B) 1
C) -1
D) 0

9. The angle is -2π/3. This angle will be in which quadrant?
A) 2nd
B) 1st
C) 3rd
D) 4th

10. The secant value would be undefined at which of the following angles?
A) 2π
B) π
C) π/4
D) π/2

11. The cosecant value would be undefined at which of the following angles?
A) π/2
B) -π
C) 3π/2
D) -π/4

12. You are asked to find the limit of x^2/(4x^5 - 116) as x values approach infinity. Because you are an expert at these, you know that the correct answer is...
A) 0
B) ∞
C) -116
D) 1/4

13. You are asked to find csc 5π/4.
A) √2
B) √2/2
C) -√2
D) -√2/2

14. You are asked to find cot 11π/6.
A) √3/3
B) √3
C) -√3/3
D) -√3

15. You are asked to find sec 51π.
A) -1
B) 1
C) 0
D) undefined

16. sin A + cos A cot A is equal to which of the following?
A) cos^2A
B) sec A
C) tan A
D) csc A

17. $500 is placed in the bank where it will receive 3.774% interest compounded continuously. How much will this account be worth after 14 yrs? Include the $ in your answer and round correctly to 2 decimal places.
A) ø
B) $848.07

18. Factor completely: (1 - sin^4x)
A) cos^4x
B) 2 cos^2x
C) sin^2x(csc x + 1)(cot x -1)
D) (1 - sin x)(1 + sin x)(1 + sin^2x)

19. You start with (csc B - cos B sec B)(csc B + tan B cot B). Which of the following do you end up with?
A) csc^2B
B) sin^2B
C) tan^2B
D) cot^2B

20. (3 + 2i)^2 is equal to...
A) 12 + 5i
B) 5 + 12i
C) 13 + 12i
D) 5

21. The index is k=5 to 199 and the argument is 6i^(3k). What is the summation?
A) -6
B) -6i
C) 6 - 6i
D) 6 + 6i

22. A hyperbola has the equation x^2/16 - y^2/12321 = 1. What is its domain?
A) x≤ -4, x ≥ 4
B) x E R
C) x ≠ 0
D) y≤ -111, y≥ 111

23. You are asked to find cos 28π/16.
A) √2/2
B) -√2/2
C) 1/2
D) -1/2

24. You are asked to find sin (-17π/3).
A) -√3/2
B) √3/2
C) 1/2
D) -1/2

25. You are asked to find tan 515π.

26. HYPERBOLA! y^2/196 - x^2/4 = 1. What would the equations of the asymptotes be?
A) y = -2/14 x and y = 2/14 x
B) y = 7x and y = -7x
C) y = 49x and y = -49x
D) y = 1/49 x and y = -1/49 x

27. Let's say you are asked to simplify the third root of (128x^5y^7z^9). Which would your answer be?
A) 4xyz (2x^2yz)^(1/3)
B) 4xy^2z^3 (2x^2y)^(1/3)
C) 4√2 (x^5y^7z^9)^(1/3)
D) Does not simplify

28. Boo!