Regents Exam Questions G.SRT.C.6: Trigonometric Ratios 1b
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Name: ________________________
G.SRT.C.6: Trigonometric Ratios 1b
1 In ABC below, the measure of ∠A = 90°, AB = 6,
AC = 8, and BC = 10 .
4 Which ratio represents the cosine of angle A in the
right triangle below?
Which ratio represents the sine of ∠B?
5 Which ratio represents cos A in the accompanying
diagram of ABC ?
2 The diagram below shows right triangle UPC.
6 In right triangle ABC shown below, what is the
value of cos A?
Which ratio represents the sine of ∠U ?
3 Which ratio represents sinx in the right triangle
shown below?
1
Regents Exam Questions G.SRT.C.6: Trigonometric Ratios 1b
Name: ________________________
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7 In the accompanying diagram of right triangle ABC,
AB = 8, BC = 15 , AC = 17, and m∠ABC = 90 .
10 Which equation shows a correct trigonometric ratio
for angle A in the right triangle below?
15
17
8
2) tanA =
17
15
3) cos A =
17
5
4) tanA =
8
11 Right triangle ABC has legs of 8 and 15 and a
hypotenuse of 17, as shown in the diagram below.
What is tan∠C ?
1)
8 The diagram below shows right triangle ABC.
Which ratio represents the tangent of ∠ABC ?
sin A =
9 The diagram below shows right triangle LMP.
The value of the tangent of ∠B is
12 In triangle MCT, the measure of ∠T = 90°,
MC = 85 cm, CT = 84 cm, and TM = 13cm.
Which ratio represents the sine of ∠C ?
Which ratio represents the tangent of ∠PLM ?
13 In ABC , the measure of ∠B = 90°, AC = 50,
AB = 48, and BC = 14 . Which ratio represents the
tangent of ∠A?
2
Regents Exam Questions G.SRT.C.6: Trigonometric Ratios 1b
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Name: ________________________
14 In right triangle ABC shown below, AC = 12,
BC = 16 , and AB = 20.
17 In the diagram of right triangle ADE below,
BC  DE .
Which equation is not correct?
12
1) cos A =
20
16
2) tanA =
12
12
3) sin B =
20
16
4) tanB =
20
15 In right triangle JKL in the diagram below, KL = 7,
JK = 24 , JL = 25, and ∠K = 90°.
Which ratio is always equivalent to the sine of ∠A?
AD
1)
DE
AE
2)
AD
BC
3)
AB
AB
4)
AC
18 In the diagram below, ERM ∼ JTM .
Which statement is not true?
24
1) tanL =
7
24
2) cos L =
25
7
3) tanJ =
24
7
4) sin J =
25
16 In ABC , m∠C = 90. If AB = 5 and AC = 4,
which statement is not true?
4
1) cos A =
5
3
2) tanA =
4
4
3) sin B =
5
5
4) tanB =
3
Which statement is always true?
RM
1) cos J =
RE
JM
2) cos R =
JT
RM
3) tanT =
EM
TM
4) tanE =
JM
3
ID: A
G.SRT.C.6: Trigonometric Ratios 1b
Answer Section
1 ANS:
8
10
sin B =
opposite
8
=
hypotenuse 10
REF: 011518ia
2 ANS:
15
17
opposite
15
sin U =
=
hypotenuse 17
REF: 010919ia
3 ANS:
28
53
opposite
28
sinx =
=
hypotenuse 53
REF: 011109ia
4 ANS:
3
5
adjacent
3
cos A =
=
hypotenuse 5
REF: 081329ia
5 ANS:
5
13
adjacent
5
cos A =
=
hypotenuse 13
REF: 080414a
6 ANS:
16
20
adjacent
16
cos x =
=
hypotenuse 20
REF: 011307ia
1
ID: A
7 ANS:
8
15
tanC =
opposite
8
=
adjacent 15
REF: 010316a
8 ANS:
5
12
opposite
5
tanABC =
=
adjacent 12
REF: 081112ia
9 ANS:
4
3
opposite 4
tanPLM =
=
adjacent 3
REF: 011226ia
10 ANS: 3
adjacent
15
cos A =
=
hypotenuse 17
REF: 011008ia
11 ANS:
0.5333
opposite
8
tanB =
=
= 0.53
adjacent 15
REF: 081026ia
12 ANS:
13
85
opposite
13
sin C =
=
hypotenuse 85
REF: fall0721ia
2
ID: A
13 ANS:
14
48
tanA =
opposite 14
=
adjacent 48
REF: 061009ia
14 ANS: 4
REF: 061417ia
15 ANS: 2
REF: 081418ia
16 ANS: 4
If m∠C = 90, then AB is the hypotenuse, and the triangle is a 3-4-5 triangle.
REF: 061224ia
17 ANS: 3
18 ANS: 4
REF: 011714geo
REF: 061615geo
3