MA 121 ACCHS The Standard Position and Algebra Revolutions Question

MA121, Test 1, Summer 2020 Last name, First name: ……………………………………………….. .Circle the one correct answer to each of these questions. Each question has 10 points.
There are no partial credits.
1. How many coterminal angles can we find for a given angle in the standard position?
(A) two
(B) one
(C) infinity many
(D) none
2. To find the coterminal of 1200◦ :
(A) we have to take away two revolutions
(B) we have to take away three
revolutions
(C) we have to add two revolutions
(D) we have to take away
one revolution
50
3. In which quadrant is the standard position of the angle − 45
π?
(A) I
(B) II
(C) IV
(D) III
4. Which one of the following formulas converts an angle x◦ degree into a radian angle?
(A) x◦ + 2π
(B) x◦ − 2π
(C) x◦ ×
180◦
π
(D) x◦ ×
π
180◦
5. What is the smallest positive coterminal of an angle θ between 0 radian and 2π
radian?
(B) it is θ − 2π
(A) it is equal to the angle θ
(C) it is θ + 2π
(D) it is 0 radian
6. In which quadrant is 3.35 radians?
(A) IV
(B) III
(C) I
(D) II
7. You walk around a circular pond of radius 13 miles for angle of θ = 10◦ degree.
Which one of the following shows the distance you walked around the pond? (Take
π ≈ 3.14)
(A) 0.27 miles
(B) 10 miles
(C) 2.27 miles
1
(D) 1.3 miles
8. Determine the value of sin( π6 ) + tan( π6 ).
(A)
√
1+2 3
2
(B)
√
5 3
6
(C)
√
3+2 3
6
(D)
√
3−2 3
6
9. Determine the value of (sin(30◦ ))2 + (cos(30◦ ))2
√
3
1
(C) 0 (D) 2
(A) 1 (B) +
4
2
10. In the following right triangle, which one of the following show the values of tan(θ)
and sec(θ)?
(A)
√
2 5
5
and
3
2
(B)
√
2 5
5
and
√
3 5
5
√
(C)
2
5
2
and
√
3 5
5
√
(D)
5
2
and
3
2