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FUN TRIGONOMETRY QUIZ
What are the coordinates of a unit circle?
1 degree is comprised of
FUN TRIGONOMETRY QUIZ
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1
1 degree is comprised of
180\degree
360 seconds
2\pi
3600 seconds
2
What are the coordinates of a unit circle?
(\sinθ,\cosθ)
(\cosθ,\sinθ)
(0,0)
(x,y)
3
Given any right triangle with sides b (adj ∠A), a (opp ∠A) and c (hyp ∠A), and an interior ∠A, cosθ=________.
a/b
a/c
b/c
b/a
4
The terminal side of θ in standard position passes through the point where the x is (-)and y is (+). θ must be in
Quadrant IV
Quadrant I
Quadrant III
Quadrant II
5
Find a positive angle less than 360° that is coterminal with -1030° angle.
150°
50°
310°
30°
6
Name the quadrant in which the angle θ lies given cot < 0, cos θ > 0.
Quadrant II
Quadrant III
Quadrant I
Quadrant IV
7
The word trigonometry is derived from the two Greek words that means measurement of triangles. What are these?
Trigonon and metro
Trigon and metron
Trigo and metron
Trigon and metre
8
The value of cos(90°-30°) if the terminal side of a 30° angle in standard position passes through the point P(√3, 1)?
1/2
√3/2
√3/3
2
9
How many units of radius does a unit circle have?
x-coordinate
One
Units
y-coordinate
10
Please refer to the figure. Give the coordinates of item no. 36.
(-1/2, √3/2)
(1/2, (-√2)/2)
(√3/2, -1/2)
(1/2, √3/2)
11
If three non collinear points are connected, a/an ______is formed.
Triangle
Collinear points
Angle
Arbitrary angle
12
Please refer to the figure. Give the corresponding angle in item no. 38.
2π/3
5π/4
3π/2
3π/4
13
Which of the following is a TRUE about the trigonometric functions?
tanθ=cosθ/sinθ
tanθ=abscissa/ordinate
tanθ=sinθ/cosθ
sinθ=x
14
Is equilateral triangle an isosceles triangle? Why?
Yes, because isosceles triangle has at least two sides congruent.
No, because isosceles has only two congruent sides.
Yes, because equilateral triangle is equiangular.
No, because they cannot be the same all the time.
15
Which of the following best describes right angles?
All right angles are supplementary.
All right angles are complementary.
All right angles have cofuntion values.
All right angles are congruent.
16
What is the value of tanθ if the terminal side of an angle θ in standard position passes through the point P(√3, 1)?
2
1
1/2
√3/3
17
An angle that measures greater than but less than is a ________.
Reflex angle
Obtuse angle
Complementary angle
Supplementary angle
18
Given cos θ = 5/2 , θ in Quadrant IV, find tan θ.
-√21/2
√21
√21/3
-√21/3
19
The Pythagorean Theorem states that the longest side is equal to the _______of the measures of the other two sides.
Squares of the sum
Sum
Square root of the sum of the squares
Twice the sum
20
Which of the following trigonometric values are negative?I. sin(-292°) II. tan(-193°) III. cos(-207°) IV. cot 222°
I and III
II and III
III only
II, III, and IV
21
Please refer to the figure. Give the coordinates of item no. 37.
(-1/2, -√2/2)
(1/2, √3/2)
(-1/2,- √3/2)
(-√3/2, -1/2)
22
How do you find the value of sec θ using the given conditions: cosθ=3/7 and sinθ< 0?
7/3
-7/3
-3/7
3/7
23
Use a coterminal angle to find the exact value of sin(225°) in a unit circle.
-√2/2
(√3/2, √1/2)
√2/2
(1/2, (-√3)/2)
24
Name the quadrant in which the angle θ lies given sin > 0, cos θ < 0.
Quadrant IV
Quadrant II
Quadrant I
Quadrant III
25
Given θ = 2/9 , tan θ < 0, find sin θ.
√77/9
-√47/9
√47/9
-√77/9
26
Find the value of 𝑦 using the given conditions: cos θ =3/7 and sinθ< 0.
7√10
-2√10
2√10
-3√10
27
The terminal side of an angle θ in standard position passes through the point P(-3,4), find cot θ.
(-3)/4
(-5)/3
4/(-3)
3/4
28
How do you describe the interior angles of any triangle
Their sum is equal to 90°.
Their sum is equal to 180°.
Each measures 60°.
Each measures less than 90°.
29
An angle is formed by the union of two rays with a common endpoint called
vertex
origin
edge
midpoint
30
The function of the complement of an angle is equal to the ______________.
Cofunction of the angle
Function of the opposite angle
Function of the angle
Cofunction of the complement of the angle
31
How do you describe an angle in standard position?
Its initial side lies in the positive x-axis
Both its initial and terminal side coincide with the positive x-axis
Its initial side lies in the x-axis
Its side coincides with the positive x-axis
32
How do you describe thetanθ and cotθ values of angles in Quadrant II?
Both are negative
tan θ is negative, cot θ is positive
tan θ is negative, cot θ is positive
Both are positive
33
It refers to a straight line from any point on the circle that passes through the center to another point on the circle.
Diameter
Radius
Chord
Tangent
34
How do you describe the secθ and cosθ values of angles in Quadrant III?
cosθ is negative, secθ is positive
Both are positive
secθ is negative, cosθ is positive
Both are negative
35
The terminal side of θ,in standard position, passes through the point where coordinates are both negative. θ must be in
Quadrant I
Quadrant IV
Quadrant III
Quadrant II
36
Please refer to the figure. Give the coordinates of item no. 34.
((-√3)/2, √3/2)
((-√2)/2, √2/2)
(√2/2, √2/2)
(√2/2, (-√2)/2)
37
What is the formula for a Circle?
x^2+y^2=1
x^2+y^2=c^2
x^2+y^2=r^2
c^2=a^2+b^2
38
What is the sum of the measure of the interior angles of a triangle?
360\degree
90\degree
480\degree
180\degree
39
Use a coterminal angle to find the exact value of cos(405°) in a unit circle.
(√2/2, √2/2)
-√2/2
(√2/2, (-√2)/2)
√2/2
40
The terminal side of an angle θ in standard position passes through the point P(-3,4), find sec θ.
(-3)/5
(-5)/3
5/4
4/(-3)
41
Which of the following measurements can possibly generate a triangle?
a=13, b=12, c=25
a=10, b=4, c=11
a=3, b=4, c=7
a=5, b=7, c=20
42
Find a positive angle less than 360° that is coterminal with angle.
95\degree
5\degree
185\degree
175\degree
43
The terminal side of an angle θ in standard position passes through the point P(√3, 1), find csc θ.
1/2
1
2
√3/3
44
Given tan θ = -9/2, cos θ<0, find csc θ.
(2√85)/3
√85/2
-√85/2
√85
45
Given any right triangle with sides b (adj ∠A), a (opp ∠A) and c (hyp ∠A), and an interior ∠A, tanθ=________.
b/a
a/c
b/c
a/b
46
If the point (-3, 7) is a point on the terminal side of angle, find the value cot θ.
-3/7
3/7
-7/3
7/3
47
If the vertices of a triangle lie on the same straight line, triangle will _____.
Remain the same
Degenerate or become flat
Another triangle will be formed
Will become smaller in size
48
The terminal side of a 60° angle in standard position passes through the point P(1, √3). Find cos(60°).
1/2
√3/2
√3/3
2
49
Given any right triangle with sides b (adj ∠A),a (opp ∠A) and c (hyp ∠A), and an interior ∠A, sinθ=________.
b/a
a/c
a/b
b/c
50
Please refer to the figure. Give the coordinates of item no. 35.
(1/2, √3/2)
(-1/2, -√3/2)
(1/2, (-√2)/2)
((-√2)/2, (-√2)/2)
