Regents Exam Questions CC.G.SRT.7: Cofunctions
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CC.G.SRT.7: Know and apply the co-function and reciprocal relationships between
trigonometric ratios
1 In scalene triangle ABC shown in the diagram below,
.
Which equation is always true?
1)
2)
3)
4)
2 In
1)
2)
3)
4)
, the complement of
is
. Which statement is always true?
3 Which expression is always equivalent to
1)
2)
3)
4)
4 If
1) 6
2) 36
3) 45
4)
, then
is equal to
when
?
Regents Exam Questions CC.G.SRT.7: Cofunctions
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5 If
1)
, then
is
2) 5
3) 18
4) 36
6 If
1)
2)
3)
4)
, the number of degrees in the measure of angle
30
60
90
120
7 If
1)
2)
3)
4)
, a measure of angle x is
15º
30º
45º
60º
8 If
1)
2)
3)
4)
35º
45º
55º
70º
, the value of x is
9 Which is a value of x if
1) 10º
2) 20º
3) 50º
4) 60º
?
is
Regents Exam Questions CC.G.SRT.7: Cofunctions
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10 If
1)
2) 17
3) 35
4) 71
11 If
1)
2) 26
3) 29
4) 64
, then the value of x is
, then the value of x is
12 Which value of x satisfies the equation
1) 30
2) 24
3) 12
4) 4
13 If
?
, find the number of degrees in the measure of acute angle x.
14 If 3x is the measure of a positive acute angle and
15 If x is a positive acute angle and
16 If
, find the value of x.
17 If
, find x.
, find the value of x.
, find the value of x.
Regents Exam Questions CC.G.SRT.7: Cofunctions
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18 Find the value of acute angle A if
.
19 In right triangle ABC with the right angle at C,
Determine and state the value of x. Explain your answer.
20 Explain why
for x such that
.
and
.
Regents Exam Questions CC.G.SRT.7: Cofunctions
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1
2
3
4
ANS:
ANS:
ANS:
ANS:
4
4
1
1
REF: 061512geo
REF: 011609geo
REF: 081504geo
. As originally written, distractor (3) was
REF: 010320b
5 ANS: 3
REF: 069621siii
6 ANS: 2
REF: 068025siii
7 ANS: 2
REF: 088622siii
8 ANS: 1
REF: 019729siii
9 ANS: 2
REF: 068717siii
10 ANS: 2
, also a correct response.
Regents Exam Questions CC.G.SRT.7: Cofunctions
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REF: 089633siii
11 ANS: 3
REF: 069825siii
12 ANS: 3
REF: 019428siii
13 ANS:
REF: 089704siii
14 ANS:
REF: 010404siii
15 ANS:
REF: 088415siii
16 ANS:
REF: 069912siii
Regents Exam Questions CC.G.SRT.7: Cofunctions
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17 ANS:
REF: 060310siii
18 ANS:
REF: 018712siii
19 ANS:
is the ratio of the opposite side and the hypotenuse while
is the ratio of the
adjacent side and the hypotenuse. The side opposite angle A is the same side as the side adjacent to angle
B. Therefore,
.
REF: fall1407geo
20 ANS:
The acute angles in a right triangle are always complementary. The sine of any acute angle is equal to
the cosine of its complement.
REF: spr1407geo