3. Trigonometric Ratios
opp
sin
hypotenuse hyp
adjacent adj
cos
hyp
opp
opposite tan
adj
4. Trigonometric Ratios hyp
opp
sin cosec
hypotenuse hyp opp
adjacent adj hyp
cos sec
hyp adj
opp adj
opposite tan cot
adj opp
5. Trigonometric Ratios hyp
opp
sin cosec
hypotenuse hyp opp
adjacent adj hyp
cos sec
hyp adj
opp adj
opposite tan cot
adj opp
e.g. i sin x cos 25
6. Trigonometric Ratios hyp
opp
sin cosec
hypotenuse hyp opp
adjacent adj hyp
cos sec
hyp adj
opp adj
opposite tan cot
adj opp
e.g. i sin x cos 25
x 90 25
x 65
7. Trigonometric Ratios hyp
opp
sin cosec
hypotenuse hyp opp
adjacent adj hyp
cos sec
hyp adj
opp adj
opposite tan cot
adj opp
e.g. i sin x cos 25 ii cot x 20 tan x 30
x 90 25
x 65
8. Trigonometric Ratios hyp
opp
sin cosec
hypotenuse hyp opp
adjacent adj hyp
cos sec
hyp adj
opp adj
opposite tan cot
adj opp
e.g. i sin x cos 25 ii cot x 20 tan x 30
x 90 25 x 20 x 30 90
x 65 2 x 80
x 40
11. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
12. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv
32 x
5
13. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv 5
sin 32
x
32 x
5
14. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv 5
sin 32
x 5
32 x x
sin 32
x 9.4 units (to 1 dp)
5
15. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv 5
sin 32
x 5
32 x x
sin 32
x 9.4 units (to 1 dp)
5
v
14
10
16. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv 5
sin 32
x 5
32 x x
sin 32
x 9.4 units (to 1 dp)
5
10
v cos
14
14
10
17. a
iii tan 61
13
a a 13tan 61
61 a 23.5 units (to 1 dp)
13
iv 5
sin 32
x 5
32 x x
sin 32
x 9.4 units (to 1 dp)
5
10
v cos
14
14 10
cos 1
14
44 25
10
34. Measuring Angles
Angle of Elevation Angle of Depression
B Y
A X
angle of elevation of B from A angle of depresion of X from Y
35. Measuring Angles
Angle of Elevation Angle of Depression
B Y
A X
angle of elevation of B from A angle of depresion of X from Y
Note: angle of elevation = angle of depression
36. Measuring Angles
Angle of Elevation Angle of Depression
B Y
A X
angle of elevation of B from A angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings N
W E
S
37. Measuring Angles
Angle of Elevation Angle of Depression
B Y
A X
angle of elevation of B from A angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings NW N NE
W E
SW S SE
38. Measuring Angles
Angle of Elevation Angle of Depression
B Y
A X
angle of elevation of B from A angle of depresion of X from Y
Note: angle of elevation = angle of depression
Compass Bearings NW NNW N NE
NNE
WNW ENE
W E
WSW ESE
SW SSW S SSE SE