sin > 0 cos < 0 tan < 0
DESCRIPTION
Quadrant 2. Quadrant I. Quadrant 2. Quadrant I. sin > 0 cos < 0 tan < 0. csc > 0 sec < 0 cot < 0. sin > 0 cos > 0 tan > 0. csc > 0 sec > 0 cot > 0. sin > 0 cos < 0 tan < 0. csc > 0 sec < 0 cot < 0. sin > 0 - PowerPoint PPT PresentationTRANSCRIPT
1 - 2 2 - 1 -=- -=- 12#
158 - 8
17 1517 - 8
15 - 178 17
15 - 12#
512 5
12 - 513 - 12
5 512 - 13
5 - 11#
43 3
5 45 3
4 53 5
4 11#
cot sec csc tan cos sin
packet
22
21
22
21b
a
b
a
θθθθθθ
sin > 0cos < 0tan < 0
csc > 0sec < 0 cot < 0
sin > 0cos > 0tan > 0
csc > 0sec > 0 cot > 0
sin < 0cos < 0tan > 0
csc < 0sec < 0 cot > 0
sin < 0cos > 0tan < 0
csc < 0sec > 0 cot < 0
#13a. sin <0 , cos <0 in quadrant III
#13b. sec >0 , cot <0 in quadrant IV
#14a. sin>0 , cos <0 in quadrant II
#14b. csc>0 , tan >0 in quadrant III
Quadrant IQuadrant 2
Quadrant 4Quadrant 3
1213 =csc .18# 3
4=cot #17.
42 =
221 =tan .16# 2
3 =cos .15#
θθ
θθ
#23a. 0.1736#23b. 5.759
#24a. -1.414#24b. -1.414
#25a. 0.3640#25b. 0.3640
#26a. 0.2244#26b. 4.4552
1 - 2 2 - 1 -=- -=- 12#
158 - 8
17 1517 - 8
15 - 178 17
15 - 12#
512 5
12 - 513 - 12
5 512 - 13
5 - 11#
43 3
5 45 3
4 53 5
4 11#
cot sec csc tan cos sin
packet
22
21
22
21b
a
b
a
θθθθθθ
sin > 0cos < 0tan < 0
csc > 0sec < 0 cot < 0
sin > 0cos > 0tan > 0
csc > 0sec > 0 cot > 0
sin < 0cos < 0tan > 0
csc < 0sec < 0 cot > 0
sin < 0cos > 0tan < 0
csc < 0sec > 0 cot < 0
#13a. sin <0 , cos <0 in quadrant III
#13b. sec >0 , cot <0 in quadrant IV
#14a. sin>0 , cos <0 in quadrant II
#14b. csc>0 , tan >0 in quadrant III
Quadrant IQuadrant 2
Quadrant 4Quadrant 3
1213 =csc .18# 3
4=cot #17.
42 =
221 =tan .16# 2
3 =cos .15#
θθ
θθ
#23a. 0.1736#23b. 5.759
#24a. -1.414#24b. -1.414
#25a. 0.3640#25b. 0.3640
#26a. 0.2244#26b. 4.4552
#11a. sin(-10) -0.174 #12a. Tan(-10)-.0176
#11b & 12b. -10 is 10 degrees in the clockwise direction from the initial ray. That is quadrant IV where cosine is positive, sine and tangent are both negative.
#13. In quadrant II a. cos < 0 b. sin < 0 c. tan >0
#14. sin<0 , cos <0 in quadrant III
x
y
x
y
x
y
#8. Since tangent is equal to sine divided by cosine, tangent will be undefined when cosine is equal to zero or at …- , . , …
#9 200 #10
#6a. sin(-) =1
b. cos (-) = 0
c. tan (-) is undefined
#7a. sin(540) = 0
b. cos (540) = -1
c. tan (540) = 0
x
y
x
y
p.249
#11a. sin(-10) -0.174 #12a. Tan(-10)-.0176
#11b & 12b. -10 is 10 degrees in the clockwise direction from the initial ray. That is quadrant IV where cosine is positive, sine and tangent are both negative.
#13. In quadrant II a. cos < 0 b. sin < 0 c. tan >0
#14. sin<0 , cos <0 in quadrant III
x
y
x
y
x
y
#8. Since tangent is equal to sine divided by cosine, tangent will be undefined when cosine is equal to zero or at …- , . , …
#9 200 #10
#6a. sin(-) =1
b. cos (-) = 0
c. tan (-) is undefined
#7a. sin(540) = 0
b. cos (540) = -1
c. tan (540) = 0
x
y
x
y
p.249