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Basic Trigonometry Equations SACHS
Contributed by: Shanahan
The correct ratio is:
cos a = 7/20
?
cos a = 20/7
sin a = 7/20
sin a = 20/7
The correct opposite operation is:
cos a =
a = cos-1 (7/20)
?
20 × cos a = 7
20
7
The answer is:
cos a =
a = 70˚
?
a = cos-1 
a = 69˚
20
7
20
7
The correct ratio is:
cos 35 = 75/b
cos 35 = b/75
?
sin 35 = b/75
sin 35 = 75/b
The correct opposite operation is:
75 × cos 35 = b
?
cos 35 =
b = 75 / cos 35
75
b
The answer is:
75 × cos 35 = b
cos 35 =
b = 61 cm
?
b = 62 cm
75
b
The correct ratio is:
cos c = 8/3
cos c = 3/8
tan c = 3/8
tan c = 8/3
?
The correct opposite operation is:
3 × tan c = 8
c = tan-1 (8/3)
?
tan c =
8
3
c = 70˚
The correct answer is:
tan c =
c = 69˚
?
c = tan-1 (8/3)
8
3
The correct ratio is:
cos 38 = 90/d
cos 38 = d/90
tan 38 = 90/d
?
tan 38 = d/90
The correct opposite operation is:
d × tan 38 = 90
?
tan 38 =
tan 38 / 90 = d
90
d
The correct opposite operation is:
d × tan 38 = 90
tan 38 =
d = 90 / tan 38
?
d = 90 × tan 38
90
d
The correct answer is:
d × tan 38 = 90
tan 38 =
d = 115 cm
?
d =
tan 38
90
d
90
d = 116 cm
The correct ratio is:
sin 37 = 20/a
sin 37 = a/20
?
tan 37 = 20/a
tan 37 = a/20
The correct opposite operation is:
20 × sin 37 = a
?
sin 37 =
a = 20 / sin 37
20
a
The correct answer is:
20 × sin 37 = a
sin 37 =
a = 13 cm
a = 12 cm
?
20
a
The correct ratio is:
cos b = 16/29
cos b = 29/16
sin b = 29/16
sin b = 16/29
?
The correct opposite operation is:
sin b =
16 × sin b = 29
b = sin-1 (16/29)
?
16
29
The correct opposite operation is:
sin b =
b = 34˚
b = 33˚
?
b = sin-1 (16/29)
16
29
The correct ratio is:
sin 24 = c/17
sin 24 = 17/c
?
tan 24 = 17/c
tan 24 = c/17
The correct opposite operation is:
c × sin 24 = 17
?
sin 24 =
sin 24 / 17 = c
17
c
The correct opposite operation is:
c × sin 24 = 17
sin 24 =
c = 17 × sin 24
c = 17 / sin 24
?
17
c
The correct answer is:
c × sin 24 = 17
sin 24 =
c = 42 cm
?
c = 41 cm
c = 17 / sin 24
17
c
The correct ratio is:
cos d = 48/59
cos d = 59/48
sin d = 48/59
?
sin d = 59/48
The correct opposite operation is:
sin d =
d = sin-1 (48/59)
?
48 × sin d = 59
48
59
The correct answer is:
sin d =
d = 54˚
?
d = sin-1 (48/59)
d = 55˚
48
59
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