Download - 11 x1 t04 01 trigonometric ratios (2013)
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Trigonometric Ratios
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Trigonometric Ratios hypotenuse
adjacent
opposite
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
cosec hypopp
sec hypadj
cot adjopp
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
cosec hypopp
sec hypadj
cot adjopp
e.g. sin cos 25i x
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
cosec hypopp
sec hypadj
cot adjopp
e.g. sin cos 25i x
90 25x 65x
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
cosec hypopp
sec hypadj
cot adjopp
e.g. sin cos25i x
90 25x 65x
cot 20 tan 30ii x x
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Trigonometric Ratios hypotenuse
sin opphyp
adjacent
opposite
cos adjhyp
tan oppadj
cosec hypopp
sec hypadj
cot adjopp
e.g. sin cos25i x
90 25x 65x
cot 20 tan 30ii x x 20 30 90x x
2 8040
xx
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iii
a
1361
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iii
a
1361
tan 6113a
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
5 sin32x
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
5 sin32x
5sin32
x
9.4 units (to 1 dp)x
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
5 sin32x
5sin32
x
9.4 units (to 1 dp)x
v
10
14
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
5 sin32x
5sin32
x
9.4 units (to 1 dp)x
v
10
14
10cos14
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iii
a
1361
tan 6113a
13tan 61a
23.5 units (to 1 dp)a
iv
x
5
32
5 sin32x
5sin32
x
9.4 units (to 1 dp)x
v
10
14
10cos14
1 10cos14
44 25
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Exact Ratios
60
60
60
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Exact Ratios
22
260
60
60
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Exact Ratios
2
160
303
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Exact Ratios
2
160
303
1sin302
3cos302
1tan303
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Exact Ratios
2
160
303
1sin302
3cos302
1tan303
3sin 602
1cos602
tan 60 3
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Exact Ratios
2
160
303
1sin302
3cos302
1tan303
3sin 602
1cos602
tan 60 3
45
451
12
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Exact Ratios
2
160
303
1sin302
3cos302
1tan303
3sin 602
1cos602
tan 60 3
45
451
12
1sin 452
1cos 452
tan 45 1
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Alternative way of remembering the exact ratios
sin
cos
tan
0 30 45 60 90
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Alternative way of remembering the exact ratios
sin
cos
tan
0 30 45 60 90
02
12
22
32
42
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Alternative way of remembering the exact ratios
sin
cos
tan
0 30 45 60 90
02
12
22
32
42
42
32
22
12
02
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Alternative way of remembering the exact ratios
sin
cos
tan
0 30 45 60 90
02
12
22
32
42
42
32
22
12
02
sincos
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Alternative way of remembering the exact ratios
sin
cos
tan
0 30 45 60 90
02
12
22
32
42
42
32
22
12
02
sincos
04
13
22
31
40
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Measuring Angles
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Measuring AnglesAngle of Elevation
A
B
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
angle of depresion of X from Y
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
angle of depresion of X from Y
Note: angle of elevation = angle of depression
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings N
S
EW
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings N
S
EW
NE
SESW
NW
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Measuring AnglesAngle of Elevation
A
B
angle of elevation of B from A
Angle of Depression
X
Y
angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings N
S
EW
NE
SESW
NW NNE
ENE
ESE
SSESSW
WSW
WNW
NNW
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True BearingsAlways start NORTH and measure clockwise
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True BearingsAlways start NORTH and measure clockwise
X
Y
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True BearingsAlways start NORTH and measure clockwise
X
Y
Bearing of Y from X
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True BearingsAlways start NORTH and measure clockwise
N
X
Y
30
Bearing of Y from X
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True BearingsAlways start NORTH and measure clockwise
N
X
Y
30
Bearing of Y from X120 T
or S60 E
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True BearingsAlways start NORTH and measure clockwise
N
X
Y
30
Bearing of Y from X120 T
or S60 E
Bearing of X from Y
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True BearingsAlways start NORTH and measure clockwise
N
X
Y
30
Bearing of Y from X120 T
or S60 E
Bearing of X from Y
N
60
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True BearingsAlways start NORTH and measure clockwise
N
X
Y
30
Bearing of Y from X120 T
or S60 E
Bearing of X from Y300 T
or N60 W
N
60
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Exercise 4A; 1 to 3 (pick some), 4acf, 5, 7bd, 8ac, 9bd, 11, 12,14c, 17, 18, 19b, 21, 23, 24, 25
Exercise 4B; 1b, 2b, 3, 4b, 6, 7, 10