11 x1 t04 04 trigonometric equations (2010)
TRANSCRIPT
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Trigonometric Equations
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Trigonometric Equations e.g. tan 2.3673i 0 360
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
180 67 6 ,360 67 6112 54 ,292 54
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
180 67 6 ,360 67 6112 54 ,292 54
1cos2
ii 0 360
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
180 67 6 ,360 67 6112 54 ,292 54
1cos2
ii 0 360
Q1, Q4
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
180 67 6 ,360 67 6112 54 ,292 54
1cos2
ii 0 360
Q1, Q41cos
260
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Trigonometric Equations e.g. tan 2.3673i 0 360
locate quadrantsQ2, Q4find acute angletan 2.3673
67 6
solve the problem180 ,360
180 67 6 ,360 67 6112 54 ,292 54
1cos2
ii 0 360
Q1, Q41cos
260
,360 60 ,360 6060 ,300
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cosec 4iii 0 360
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cosec 4iii 0 360
1sin4
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cosec 4iii 0 360
Q1, Q2
1sin4
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cosec 4iii 0 360
Q1, Q2
1sin414 29
1sin4
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
2sin 1 0iv x 0 360x
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
2sin 1 0iv x 0 360x
2sin 11sin2
x
x
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
2sin 1 0iv x 0 360x
Q3, Q4
2sin 11sin2
x
x
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
2sin 1 0iv x 0 360x
Q3, Q4
1sin230
2sin 11sin2
x
x
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cosec 4iii 0 360
Q1, Q2
1sin414 29
,180
14 29 ,180 14 2914 29 ,165 31
1sin4
2sin 1 0iv x 0 360x
Q3, Q4
1sin230
180 ,360x 180 30 ,360 30210 ,330
2sin 11sin2
x
x
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
sin 2cos 5
2tan5
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
sin 2cos 5
2tan5
0 2 720
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
Q1, Q4
sin 2cos 5
2tan5
0 2 720
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
Q1, Q4
cos 0.7541 25
sin 2cos 5
2tan5
0 2 720
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
Q1, Q4
cos 0.7541 25
2 ,360 2 41 25 ,360 41 252 41 25 ,318 35 ,401 25 ,678 35
sin 2cos 5
2tan5
0 2 720
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5sin 2cosv 0 360
Q2, Q42tan521 48
180 ,360
180 21 48 ,360 21 48158 12 ,338 12
cos 2 0.75vi 0 360
Q1, Q4
cos 0.7541 25
2 ,360 2 41 25 ,360 41 252 41 25 ,318 35 ,401 25 ,678 35
sin 2cos 5
2tan5
0 2 720
20 43 ,159 18 ,200 43 ,339 18
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2sec tan 3vii 0 360
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
Q1, Q3
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
Q1, Q3
tan 145
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
Q1, Q3
tan 145
,180
45 ,180 4545 ,225
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
Q1, Q3
tan 145
,180
45 ,180 4545 ,225
45 ,116 34 ,225 ,296 34
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2sec tan 3vii 0 360
2
2
1 tan tan 3tan tan 2 0
tan 2 tan 1 0
tan 2 or tan 1
Q2, Q4tan 2
63 26
180 ,360
180 63 26 ,360 63 26116 34 ,296 34
Q1, Q3
tan 145
,180
45 ,180 4545 ,225
45 ,116 34 ,225 ,296 34
Exercise 4G; 1af, 2be, 3af, 4bfjo, 5b, 6ac, 7a, 8bd, 9aeg, 10af,12a, 13b, 14d, 15*ag