(1) Trig Solutions
x
7
35o
S H
OC H
A
T A
O
Tan
You know the adjacent and want the opposite.
Opp = Tan x Adj
x = tan 35 x 7
x = 4.9 (1.d.p.)
Hyp = Opp/sin40
x = 15.6 cm
(2) Trig Solutions
10x
40o
S H
OC H
A
T A
O
Sin
You know the opposite and want the hypotenuse.
10
sin 40x
Hyp = Adj/cos 35
x = 24.4
(3) Trig Solutions
20
35o
S H
OC H
A
T A
O
Cos
You know the adjacent and want the hypotenuse.x
20
cos35x
(4) Trig Solutions
x12
38o
S H
OC H
A
T A
O
Sin
You know the hypotenuse and want the opposite.
Opp = Hyp x sin 38
x = 12 x sin 38
x = 24.4
(5) Trig Solutions
20
x
42o
S H
OC H
A
T A
O
Tan
You know the opposite and want the adjacent.
Adj = Opp/tan 42
x = 22.2
20
tan 42x
(6) Trig Solutions
1015
o
S H
OC H
A
T A
O
Sin
You know the opposite and the hypotenuse. And want to know the angle
1
sin
10sin 0.66
15
sin 0.66 41.8o
Opp
Hyp
(7) Trig Solutions
x
21o
S H
OC H
A
T A
O
Cos
You know the hypotenuse and want the adjacent.
100Adj = Hyp x Cos 21
x = 100 x cos 21
x = 93.4
(8) Trig Solutions
24
x
37o
S H
OC H
A
T A
O
Tan
You know the opposite and want the adjacent.
Adj = Opp/tan 37
x = 31.8
24
tan 37x
(9) Trig Solutions
1018
o
S H
OC H
A
T A
O
Sin
You know the opposite and the hypotenuse. You want to find the angle.
1
sin
10sin 0.55
18
sin 0.55 33.7o
Opp
Hyp
(10) Trig Solutions
200400
o
S H
OC H
A
T A
O
Sin
You know the opposite and the hypotenuse. You want to find the angle.
1
sin
200sin 0.5
400
sin 0.5 30o
Opp
Hyp
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