Math 150 Exam II/Quiz II Practice

Summer 2016 Quiz II: 7/11/16: Calculator section only. You should try the questions that have QII next to the question. They are 1, 2, 3, 14, 40

Exam II 7/18/16: Calculator Part and Non Calculator Part (the non -calculator questions are marked NC)

For the non-calculator part, you may use a nonscientific, non-graphing calculator that contains only the four basic operations and square root operation. It can be checked out at TMARC

1)QII Sketch the graph a) b) . You must indicate the a) amplitude, b) period, c) shift d) range e) the new five key points. Include the new x-axis in your graph.

2)QII Sketch the graph a) b) . a) amplitude, b) period, c) shift d) the five key points of sine/cosine. Include the original x-axis in your graph.

3)QII Sketchat least two cycles of the graph of a) b) . You must find a) amplitude, b) period, c) shift d) at least two cycles of the graph

4)NC Find the exact value of a) b) by showing a triangle.

5)ShowA) B) by transforming the left side into the right

6)NC If, find and .

7)NC Evaluate a) b) c) d)

8)NC Given and A in , find the exact values of sine, cosine, tangent of

9)NC A) If and x in QI, find the exact value of and

B)If and x in QIII, find the exact value of and

10)NC A) Find the exact value of b) Find the exact value of

11)Complete the following table.

Domain / Range
/ 1) / 2)
/ 3) / 4)
/ 5) / 6)

12)NC Simplify a) b) c) . You may assume x>0

13)NC Show a) b)

14)QII Find the amplitude, period, phase shift. Then sketch the graph

a) c)

16) NC Find the exact value of the following: a)b)

17) NC Given and wherein in . Find the exact values of each of the following: a) b)

18) Show by working on the left side only.

19) Show by working on the left side only.
20)Showa) b) c) by working on the left side only.( hint for c): first express cotx in terms of sinx, cosx

21) NC Solve

22) NC Solve

23) NC Solve for x:
24) NC Find all degree solutions

25) NC Solve :

26) Find degree solutions

27) NC Solve for

28) NC Find all radian solutions

29) Solve for

30) NC Find all radian solutions

31) Use the sum and difference formulas for sin(A+B), sin(A-B),cos(A+B), cos(A- B) ONLY to write as a sum (DO NOT use sum-to-product formulas) of sine/cosine functions a) b) c) d)

32) Prove by transforming the left side into the right.

33) Prove by transforming the left side into the right.

34) Prove

35) Use transformations to sketch the graph of

36) Determine if is even ,odd, or neither.

37) Use transformations to sketch the graph of

38) Determine if is even, odd or neither.

39) Determine if is even, odd or neither.

40) Compute each of the following:

a) b) c)d) e) f) b g)

40)QII Sketch each of the following: You must find the new 5 key points and label the vertical asymptotes clearly on the graph.

a) b) c) d)