- 1. Using the Unit Circle, evaluate sec (22π/3)=
A) -(√3)/2
B) -2(√3)/3
C) -2
D) -1/2
- 2. Using the Unit Circle, solve for ø, 0 ≤ ø < 2π. csc ø = undefined
A) ø = 0, π, 2π
B) ø = π, 2π
C) ø = 0, π
D) ø = π/2, 3π/2
- 3. Find the length of the arc created by a central angle of 230º on a circle with radius 14 feet.
A) 3220 ft
B) 56.20 ft
C) 17.89 ft
D) 16.43 ft
- 4. Given sin ø = 3/8 and tan ø < 0, find cos ø.
A) cos ø = (√55)/3
B) cos ø = -(√55)/3
C) cos ø = (√55)/8
D) cos ø = -(√55)/8
- 5. Given tan ø = undefined and sin ø < 0, find csc ø.
A) csc ø = 0
B) csc ø = undefined
C) csc ø = -1
D) csc ø = 1
A) 4.445
B) 1.0263
C) -32.284
D) 0.225
- 7. Given tan ø = -1.325, find 2 values of ø between 0 and 2π.
A) ø = 4.06, 5.36
B) ø = 0.92, 2.22
C) ø = 2.22, 5.36
D) ø = .92, 4.06
- 8. Given sec ø = 2.6, find 2 values o between 0º and 360º.
A) ø = 2.6º, 357.4º
B) ø = 67.38º, 292.62º
C) ø = 67.38º, 112.62º
D) ø = 67.38º, 247.38º
- 9. Determine the quadrant in which ø lies: sec ø < 0 and tan ø > 0
A) I
B) IV
C) II
D) III
- 10. Complete the identity: sin2 ø + cos2 ø = _______
A) tan2 ø
B) 2
C) 0
D) 1
- 11. Find the reference angle for 25π/7.
A) ø' = -π/7
B) ø' = 11π/7
C) ø' = 4π/7
D) ø' = 3π/7
- 12. Find the reference angle for -2.76. HINT: This is radians.
A) ø' = -0.38
B) ø' = 0.38
C) ø' = -2.76
D) ø' = 1.19
- 13. The point (4, -2) is on the terminal side of an angle in standard position. Determine the EXACT (no decimals) value of sin ø.
A) sin ø = -(√5)/5
B) sin ø = -1/2
C) sin ø = 2(√5)/5
D) sin ø = -(√5)
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