Algebra 2



Honors Algebra 2 Chapter 9 Review Name___________________________

This worksheet is no calculator. Show all work for credit.Simplify all answers.

1) [pic]is in quad 2, find: [pic]. 2) [pic], find:[pic].

# 3 – 9, Simplify each expression:

3) [pic] 4) [pic] 5) [pic] 6) [pic]

7) [pic] 8) [pic] 9) [pic]

# 10 – 15, Verify each identity:

10) [pic] 11) [pic]

12) [pic] 13) [pic]

14) [pic] 15) [pic]

16. [pic]

amplitude:______

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

17. [pic]

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

18. [pic]

amplitude:______

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

19. [pic]

amplitude:______

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

20. [pic]

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

21. [pic]

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

22. [pic]

amplitude:______

period:______

horizontal shift:______

vertical shift:______

maximum:______

minimum:______

23) Convert to radians (no calculator): [pic]

24) Convert to degrees (no calculator): [pic] radians

24) Find the length of an arc of a [pic] central angle in a circle with diameter [pic].

25) Find the area of the sector of a circle of radius [pic] meters if the central angle of the sector is [pic].

26) The area of a sector in a circle of radius [pic]inches is [pic] square inches. Find the measure (in degrees) of the

central angle.

27) The arc of a central angle of [pic] has a length of [pic] feet. Find the radius of the circle.

28) Find the area of the shaded region from a sector of a circle with radius [pic] inches and central angle with measure

of [pic] radians. (exact answer)

[pic] [pic]

[pic]

29) A ramp leading up to a doorway makes a [pic] angle with the ground. If the doorway is [pic] above the

ground, find the length of the ramp. (nearest hundredth)

30) A flagpole casts a shadow [pic] long when the elevation of the sun is [pic]. How tall is the flagpole?

(nearest hundredth)

31) Find: (No calculator!)

a) [pic] b) [pic] c) [pic] d) [pic] e) [pic]

f) [pic] g) [pic] h) [pic] i) [pic] j) [pic]

k) [pic] l) [pic] m) [pic] n) [pic] o) [pic]

32) (No calculator!) Find all [pic] between [pic] and [pic] for which [pic].

33) (No calculator!) If [pic], and [pic] is in quadrant II, find the [pic].

34) (No calculator!) For what values of [pic] in [pic] is [pic]?

35) Multiple Choice: (No calculator!) For what values of [pic] between [pic] and [pic] is [pic] and [pic]?

a) [pic] b) [pic] c) [pic] d) [pic]

36) True or False: (No calculator!) a) [pic] b) [pic]

37) Write a sine and cosine equation for each sinusoid.

a) [pic] b) [pic]

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