Download A2.A.56: Determining Trigonometric Functions 4: Know the

Regents Exam Questions
A2.A.56: Determining Trigonometric Functions 4
Name: ________________________
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A2.A.56: Determining Trigonometric Functions 4: Know the exact and approximate values of the
sine, cosine, and tangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles
1 In the unit circle shown in the accompanying diagram, what are the coordinates of (x, y)?
1)
2)



3

, −0.5 
 −
2






3 


 −0.5, −
2




3)
(−30, −210)
4)

2
2

,−
 −
2
2







2 In the accompanying diagram of circle O, COA is a diameter, O is the origin, OA = 1, and m∠BOA = 30. What are
the coordinates of B?
1)
2)


3 
 1
 ,

2 
2




 3 1 
, 

2
 2


3)
4)










1
2
2
,
2
2

2 1 
, 
2
2






Regents Exam Questions
A2.A.56: Determining Trigonometric Functions 4
Name: ________________________
www.jmap.org
3 In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of
θ intersects the unit circle.
If m∠θ = 120, what is the value of x in simplest form?
3
2
1)
3)
−
1
2
3
4) 1
2
2
4 In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of
θ intersects the unit circle.
2)
−
If θ = − π , what is the value of y?
3
1)
−
3
2
3)
−
2)
−
2
2
4)
−
2
3
1
2
Regents Exam Questions
A2.A.56: Determining Trigonometric Functions 4
Name: ________________________
www.jmap.org
5 In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of
θ intersects the unit circle.
If θ = 150°, what is the value of x?
1)
1
2)
−
3
2
3)
−
4)
−
3
1
2
2
2
ID: A
A2.A.56: Determining Trigonometric Functions 4: Know the exact and approximate values of the
sine, cosine, and tangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles
Answer Section
1
2
3
4
5
ANS:
ANS:
ANS:
ANS:
ANS:
1
2
3
1
2
REF:
REF:
REF:
REF:
REF:
010718b
068926siii
069728siii
019828siii
010226siii
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