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Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
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Name: __________________________________
A2.A.58: Cofunction Trigonometric Relationships: Know and apply the cofunction and reciprocal relationships between trigonometric ratios
1 If
is acute and
, then
1)
2)
3)
4)
2 If
1) 6
2) 36
3) 54
4)
3 If
1)
2)
3)
4)
, then
is equal to
, the number of degrees in the measure of angle
30
60
90
120
4 If
1)
2)
3)
4)
, a measure of angle x is
15º
30º
45º
60º
5 If
1)
2)
3)
4)
10
20
30
40
, a value of x is
is
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
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Name: __________________________________
6 If
1)
2)
3)
4)
, then
is
28
32
45
84
7 If
1)
, then
is
2) 5
3) 18
4) 36
8 If
1)
2) 17
3) 35
4) 71
9 If
1)
2)
3)
4)
, the value of x is
35º
45º
55º
70º
10 If
1)
2) 26
3) 29
4) 64
11 If
1)
2)
3)
4)
, then the value of x is
, then the value of x is
, a value of x is
35
45
55
70
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
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Name: __________________________________
12 Which is a value of x if
1) 10º
2) 20º
3) 50º
4) 60º
?
13 Which value of x satisfies the equation
1) 30
2) 24
3) 12
4) 4
?
14 If x is a positive acute angle and
, find the value of x.
15 If 3x is the measure of a positive acute angle and
16 If
, find the value of x.
, find the number of degrees in the measure of acute angle x.
17 If
, find the value of x.
18 If
, find x.
19 If
, find the smallest positive value of a, in degrees.
20 Find the value of acute angle A if
.
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
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1 ANS: 3
Cofunctions tangent and cotangent are complementary
PTS: 2
2 ANS: 1
REF: 061014a2
. (3), or
3
4
5
6
7
8
9
10
11
12
13
14
PTS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
35º
2
2
2
2
2
3
2
1
3
1
2
3
, is also a correct response.
REF:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
010320b
2
2
2
2
2
2
2
2
2
2
2
PTS: 2
15 ANS:
10º
REF: 088415siii
PTS: 2
16 ANS:
18
REF: 010404siii
PTS: 2
17 ANS:
30
REF: 089704siii
PTS: 2
18 ANS:
15
REF: 069912siii
PTS: 2
19 ANS:
REF: 060310siii
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
068025siii
088622siii
089328siii
088932siii
069621siii
089633siii
019729siii
069825siii
080118siii
068717siii
019428siii
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
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PTS: 2
20 ANS:
40º
REF: 011330a2
PTS: 2
REF: 018712siii