precalculus
bdadio
precalculus5.docx1. What is the sum of two complementary angles? °
2. Are the angles 300° and −210° coterminal?
YesNo
3. Determine the quadrant in which each angle lies.
(a) 143°
III IIIIV
(b) 203°
III IIIIV
4. Determine the quadrant in which each angle lies.
(a) 60.3°
III IIIIV
(b) 252.7°
III IIIIV
5. Determine the quadrant in which each angle lies.
(a)
−150.25°
III IIIIV
(b)
−11.95°
III IIIIV
6. Sketch each angle in standard position.
(a)
45°
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(b)
180°
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7. Sketch each angle in standard position.
(a)
−90°
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(b)
−150°
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8. Sketch each angle in standard position.
(a)
−810°
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(b)
−510°
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9. Find (if possible) the complement and supplement of the angle. (Enter NONE in any unused answer blanks.)
157°
° (complement) ° (supplement)
10. Determine the quadrant in which each angle lies. (The angle measure is given in radians.)
(a)
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9π |
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10 |
first quadrantsecond quadrant third quadrantfourth quadrant
(b)
−
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9π |
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5 |
first quadrantsecond quadrant third quadrantfourth quadrant
11. Determine the quadrant in which each angle lies. (The angle is given in radians.)
(a)
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7π |
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4 |
Quadrant IQuadrant II Quadrant IIIQuadrant IV
(b)
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15π |
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4 |
Quadrant IQuadrant II Quadrant IIIQuadrant IV
12. Sketch each angle in standard position.
(a)
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4π |
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5 |
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(b)
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5π |
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4 |
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13. Sketch each angle in standard position.
(a)
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7π |
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4 |
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(b)
−
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4π |
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5 |
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14. Rewrite each angle in radian measure as a multiple of π. (Do not use a calculator.)
(a)
225°
rad (b)
120°
rad
15. Rewrite each angle in degree measure. (Do not use a calculator.)
(a)
−
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5π |
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2 |
° (b)
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11π |
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15 |
°
16. Convert the angle measure from degrees to radians. Round your answer to three decimal places.
−42.76°
rad
17. Convert the angle measure from radians to degrees. Round to three decimal places.
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2π |
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11 |
°
18. Find (if possible) the complement and supplement of the angle. (Enter NONE in any unused answer blanks.)
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5π |
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6 |
(complement) (supplement)
19. Find (if possible) the complement and supplement of the angle. (Enter NONE in any unused answer blanks.)
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2π |
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3 |
(complement) (supplement)
20. (a) Find each angle (in radians) shown on the unit circle.
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0° |
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rad |
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30° |
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rad |
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45° |
= |
rad |
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60° |
= |
rad |
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90° |
= |
rad |
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135° |
= |
rad |
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180° |
= |
rad |
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210° |
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rad |
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270° |
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rad |
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330° |
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rad |
(b) Find each angle (in degrees) shown on the unit circle.
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° |
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° |
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° |
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° |
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° |
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π |
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° |
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° |
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° |
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° |
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° |
