Download Applying the Co-Function Identities Problem Set

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Class: _________________
Date: _________
ID: A
Applying the Co-Function Identities Problem Set
Short Answer
1. If sin 6A = cos9A, then m∠A is equal to
7. If sin(x + 20°) = cosx, the value of x is
2. If sin ( A − 30 ) ° = cos60°, the number of degrees
in the measure of angle A is
8. If tan(x + 20) = cot x, a value of x is
3. If cot(x − 10)° = tan(4x)°, a value of x is
9. If sec(a + 15)° = csc(2a)°, find the smallest
positive value of a, in degrees.
4. Which value of x satisfies the equation
sin(3x + 5)° = cos(4x + 1)°?
10. If 3x is the measure of a positive acute angle and
cos3x = sin 60°, find the value of x.
5. If sin 2A = cos3A, then m∠A is
6. If cos ( 2x − 1 ) ° = sin(3x + 6)°, then the value of x
is
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ID: A
Applying the Co-Function Identities Problem Set
Answer Section
SHORT ANSWER
1. ANS:
6
6A + 9A = 90 . (3), or A = 54, is also a correct response.
15A = 90
A=6
PTS: 2
REF: 010320b
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
2. ANS:
60
PTS: 2
REF: 068025siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
3. ANS:
20
PTS: 2
REF: 089328siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
4. ANS:
12
PTS: 2
REF: 019428siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
5. ANS:
18
PTS: 2
REF: 069621siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
6. ANS:
17
PTS: 2
REF: 089633siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
7. ANS:
35º
PTS: 2
REF: 019729siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
1
ID: A
8. ANS:
35
PTS: 2
REF: 080118siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
9. ANS:
a + 15 + 2a = 90
3a + 15 = 90
3a = 75
a = 25
PTS: 2
REF: 011330a2
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
10. ANS:
10º
PTS: 2
REF: 010404siii
STA: A2.A.58
TOP: Cofunction Trigonometric Relationships
2