Time Management

In: Other Topics

Submitted By lettey
Words 4283
Pages 18
Section 2.2 Trigonometric Functions of Non-Acute Angles

6. B; 480 360 120 and 180
(120° is in quadrant II)

1 bh, we have
2
1
1 2 s2 . s s s or A
2
2
2

85. Since A

A

Section 2.2 Trigonometric Functions of
Non-Acute Angles

8. Answers may vary. in QIII is
The reference angle for an angle given by
180 . The trigonometric functions of are as follows: sin sin csc csc cos cos sec sec tan tan cot cot

1. C; 180 98 82
(98° is in quadrant II)
2. F; 212 180 = 32°
(212° is in quadrant III)
3. A; 135 360 225 and
225 180 = 45°
(225° is in quadrant III)

9. Answers may vary.
Two coterminal angle have the same values for their trigonometric functions because the two angles have the same reference angle.

4. B; 60 360 300 and
360 300 60
(300° is in quadrant IV)

10. Answers may vary.
In quadrant II, the sine function is positive while the cosine and tangent functions are negative. 5. D; 750 2 360 30
(30° is in quadrant I)

cos

tan

11.

30

1
2

3
2

12.

45

2
2

13.

60

3
2

2
2
1
2
cos 120 cos 60
1
2

14. 120

3
2

15. 135

2
2

16. 150

sin150 sin 30
1
2

2
2
3
2

60

7. 2 is a good choice for r because in a 30 60 right triangle, the hypotenuse is twice the length of the shorter side (the side opposite to the 30 angle). By choosing 2, one avoids introducing a fraction (or decimal) when determining the length of the shorter side.
Choosing any even positive integer for r would have this result; however, 2 is the most convenient value.

86. Yes, the third angle can be found by subtracting the given acute angle from 90°, and the remaining two sides can be found using a trigonometric function involving the known angle and side.

sin

120

55

cot

sec

csc

3
3

3

2 3
3

2

1

1

2

2

3

3…...

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