Download A.A.42: Trigonometric Ratios 1: Find the sine, cosine, and tangent

Regents Exam Questions A.A.42: Trigonometric Ratios 1
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Name: ________________________
A.A.42: Trigonometric Ratios 1: Find the sine, cosine, and tangent ratios of an angle of a right
triangle, given the lengths of the sides
3 Which ratio represents cos A in the accompanying
diagram of ABC ?
1 The diagram below shows right triangle UPC.
1) Which ratio represents the sine of ∠U ?
15
15
8
8
2) 3) 4) 1) 8
17
15
17
5
12
12
13
2) 3) 4) 13
13
5
5
4 In the accompanying diagram of right triangle ABC,
AB = 8, BC = 15 , AC = 17, and m∠ABC = 90 .
2 Which ratio represents sinx in the right triangle
shown below?
What is tan∠C ?
8
17
8
15
2) 3) 4) 1) 15
15
17
17
1) 28
28
45
53
2) 3) 4) 53
45
53
28
1
Regents Exam Questions A.A.42: Trigonometric Ratios 1
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5 The diagram below shows right triangle ABC.
Name: ________________________
8 In triangle MCT, the measure of ∠T = 90°,
MC = 85 cm, CT = 84 cm, and TM = 13cm.
Which ratio represents the sine of ∠C ?
13
84
13
84
2) 3) 4) 1) 85
85
84
13
Which ratio represents the tangent of ∠ABC ?
5
5
12
12
2) 3) 4) 1) 13
12
13
5
9 In ABC , the measure of ∠B = 90°, AC = 50,
AB = 48, and BC = 14 . Which ratio represents the
tangent of ∠A?
14
14
48
48
2) 3) 4) 1) 50
48
50
14
6 The diagram below shows right triangle LMP.
10 Which equation shows a correct trigonometric ratio
for angle A in the right triangle below?
Which ratio represents the tangent of ∠PLM ?
3
3
4
5
1) 2) 3) 4) 4
5
3
4
1) sinA =
7 Right triangle ABC has legs of 8 and 15 and a
hypotenuse of 17, as shown in the diagram below.
The value of the tangent of ∠B is
1) 0.4706 2) 0.5333 3) 0.8824 4) 1.8750
2
15
8
15
2) tanA =
3) cos A =
17
17
17
5
4) tanA =
8
ID: A
A.A.42: Trigonometric Ratios 1: Find the sine, cosine, and tangent ratios of an angle of a right
triangle, given the lengths of the sides
Answer Section
1 ANS: 2
sinU =
opposite
15
=
hypotenuse 17
REF: 010919ia
2 ANS: 1
opposite
28
sinx =
=
hypotenuse 53
REF: 011008ia
3 ANS: 1
adjacent
5
cos A =
=
hypotenuse 13
REF: 080414a
4 ANS: 1
opposite
8
tanC =
=
adjacent 15
REF: 010316a
5 ANS: 2
opposite
5
tanABC =
=
adjacent 12
REF: 081112ia
6 ANS: 3
opposite 4
tanPLM =
=
adjacent 3
REF: 011226ia
7 ANS: 2
opposite
8
tanB =
=
= 0.53
adjacent 15
REF: 081026ia
1
ID: A
8 ANS: 1
sinC =
opposite
13
=
hypotenuse 85
REF: fall0721ia
9 ANS: 2
opposite 14
tanA =
=
adjacent 48
REF: 061009ia
10 ANS: 3
adjacent
15
cos A =
=
hypotenuse 17
REF: 011008ia
2