Download A2.A.58.CofunctionTrigonometricRelationships

Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
Page 1
www.jmap.org
Name: __________________________________
A2.A.58: Cofunction Trigonometric Relationships: Know and apply the cofunction and reciprocal relationships between trigonometric ratios
1 If angles A and B are complementary, then
1)
2)
3)
4)
2 If
is acute and
equals
, then
1)
2)
3)
4)
3 If
1) 6
2) 36
3) 54
4)
4 If
1)
2)
3)
4)
, then
is equal to
, the number of degrees in the measure of angle
30
60
90
120
5 If
1) 15º
2) 30º
3) 45º
, a measure of angle x is
is
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
Page 2
www.jmap.org
Name: __________________________________
4) 60º
6 If
1)
2)
3)
4)
, a value of x is
10
20
30
40
7 If
1)
2)
3)
4)
28
32
45
84
, then
8 If
1)
, then
is
is
2) 5
3) 18
4) 36
9 If
1)
2) 17
3) 35
4) 71
10 If
1)
2)
3)
4)
, then the value of x is
, the value of x is
35º
45º
55º
70º
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
Page 3
www.jmap.org
Name: __________________________________
11 If
1)
2) 26
3) 29
4) 64
12 If
1)
2)
3)
4)
, then the value of x is
, a value of x is
35
45
55
70
13 Which is a value of x if
1) 10º
2) 20º
3) 50º
4) 60º
?
14 Which value of x satisfies the equation
1) 30
2) 24
3) 12
4) 4
15 If x is a positive acute angle and
16 If 3x is the measure of a positive acute angle and
17 If
?
, find the value of x.
, find the value of x.
, find the number of degrees in the measure of acute angle x.
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
Page 4
www.jmap.org
Name: __________________________________
18 If
, find the value of x.
19 If
, find x.
20 If
, find the smallest positive value of a, in degrees.
21 Find the value of acute angle A if
.
Regents Exam Questions A2.A.58: Cofunction Trigonometric Relationships
www.jmap.org
1 ANS: 3
REF: 011625a2
2 ANS: 3Cofunctions tangent and cotangent are complementary
REF: 061014a2
3 ANS: 1
. (3), or
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
35º
REF:
ANS:
10º
REF:
ANS:
18
REF:
ANS:
30
REF:
ANS:
15
REF:
ANS:
010320b
2
2
2
2
3
2
1
3
1
2
3
088415siii
010404siii
089704siii
069912siii
060310siii
REF: 011330a2
, is also a correct response.
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
www.jmap.org
21 ANS:
40º
REF: 018712siii