Common Core Standard HSF-TF.A.2 Questions

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Grade 11 Trigonometry CCSS: HSF-TF.A.2

Reference angles are always acute.

True
False

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Angle

$theta$ is the angle in standard position whose terminal arm intersects the unit circle (centered at the origin) at the point

$(7/12, sqrt(95)/12)$ . What is the value of

$sin(theta) ?$

$sqrt(95)/12$
$7/12$
$7/sqrt(95)$
$sqrt(95)/7$

Grade 12 Trigonometry CCSS: HSF-TF.A.2

The terminal side of an angle measuring

$(13pi)/16$ radians lies in which quadrant?

Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Angle A is in standard position. It's terminal arm intersects the unit circle at

$(-3/10, sqrt(91)/10)$ . What is the value of

$cos(A) ?$

$-3/sqrt(91)$
$-sqrt(91)/3$
$sqrt(91)/10$
$-3/10$

Grade 12 Trigonometry CCSS: HSF-TF.A.2

The terminal side of an angle measuring

$(-2pi)/3$ radians lies in which quadrant?

Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Grade 11 Trigonometry CCSS: HSF-TF.A.2

For the point

$(5/7, (2sqrt(6))/7)$ on the unit circle centered at the origin, let angle

$theta$ be the angle in standard position whose terminal arm intersects this point after the angle has made between 2 and 3 full rotations around the origin. What is the value of

$cos(theta) ?$

$(2sqrt(6))/7$
$5/7$
$5/(2sqrt(6))$
$(2sqrt(6))/5$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Find the reference angle for the given angle. 211.4°

121.4°
58.6°
31.4°
148.6°

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Point M,

$(4/5, -3/5)$ , is on the unit circle centered at the origin. The angle

$theta$ is in standard position, with its terminal arm passing through point M. What is the value of

$tan(theta) ?$

$-3/5$
$4/5$
$-4/3$
$-3/4$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

The acute angle that is formed by the terminal side and the x-axis is called the .

reference angle
terminal angle
complement
right angle
none of these are correct

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Angle

$theta$ is the angle in standard form whose terminal arm passes through the point

$(-5/13, -12/13)$ (which lies on the unit circle centered at the origin). What is the value of

$tan(\theta) ?$

$12/5$
$5/12$
$-5/13$
$-12/13$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Determine the reference angle for an angle that is in standard position and the terminal side intersects the point

$(-6,2)$ (round to one decimal place).

$123.7deg$
$56.3deg$
$47.8deg$
$18.4deg$
none of these are correct

Grade 11 Trigonometry CCSS: HSF-TF.A.2

This question is a part of a group with common instructions. View group »

What is the value of

$sin(theta) ?$

$sqrt(3)$
$1/sqrt(3)$
$sqrt(3)/2$
$1/2$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

What reference angle would be used to calculate the trig function values for

$120deg$ ?

$0deg$
$30deg$
$45deg$
$60deg$
$90deg$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

This question is a part of a group with common instructions. View group »

What is the value of

$theta ?$

$pi/6$
$pi/3$
$pi/4$
$pi/2$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

The terminal side of a

$-1545deg$ angle lies in what quadrant?

Q I
Q II
Q III
Q IV

Grade 11 Trigonometry CCSS: HSF-TF.A.2

This question is a part of a group with common instructions. View group »

The following are ordered pairs of the function

$f(x)=sin(x):$

$(pi/6, 1/2), ((13pi)/6, 1/2), ((25pi)/6, 1/2)$ . To which point(s) on the unit circle would these ordered pairs be associated with, according to the relationship in the previous question.

$(sqrt(3)/2, 1/2)$
$(sqrt(3)/2, 1/2), (sqrt(2)/2, sqrt(2)/2), (1/2, sqrt(3)/2)$
$(sqrt(3)/2, 1/2), (-sqrt(3)/2, 1/2), (-sqrt(3)/2, -1/2)$
$(1/2, sqrt(3)/2)$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Reference angles must be

in degrees.
positive and acute.
positive and obtuse.
in radians.

Grade 11 Trigonometry CCSS: HSF-TF.A.2

This question is a part of a group with common instructions. View group »

What is the relationship between point A on circle O, its associated angle

$theta$ , and the ordered pair

$(pi/3, sqrt(3)/2)$ of the function

$f(x) = sin(x) ?$

The angle $theta$ is the first value of the ordered pair, and the y-value of point A is the second value.
The y-value of point A is the second value of the ordered pair. The first value of the ordered pair is the complement of $theta$ .
The y-value of point A is the second value of the ordered pair. The first value of the ordered pair is random (it has no relationship to point A or $theta$ ).
There is no relationship.

Grade 11 Trigonometry CCSS: HSF-TF.A.2

Which of the following is coterminal to

$-(5pi)/12$ ?

$-(7pi)/12$
$(5pi)/12$
$(7pi)/12$
$(17pi)/12$
$(19pi)/12$

Grade 11 Trigonometry CCSS: HSF-TF.A.2

What is the reference angle for

$170deg$ ?

190°
80°
100°
10°

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Common Core Standard HSF-TF.A.2 Questions

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