NEW CORELLA NATIONAL HIGH SCHOOL
2nd SUMMATIVE TEST IN PRE-CALCULUS
1st SEMESTER S.Y. 2021 – 2022
Name: ______________________________
Instruction: Choose the letter of the correct answer. Write the
letter of your answer on the space provided.
_____1. Which pair of angles below are coterminal?
a. 35° and 395°
b. 60° and 240°
c. 120° and 300°
d. 300° and 650°
_____2. Which of the following statement is not true about
the angles and the unit circle?
a. The direction of rotation of a negative angle is
clockwise.
b. An angle is measured from its initial side to its
terminal side.
c. The origin is the center of the unit circle.
d. The direction of rotation of a positive angle is
clockwise.
_____3. What is the reference angle of π/6?
a. π/3
b. 5π/6
c. π/8
d. π/6
_____4. Which pair of angles below are coterminal?
a. π and 2π
b. 2π and 3π
c. π and 3π
d. 2π and 5π
_____5. What is 30° in radians?
a. π/2
b. π/3
c. π/4
d. π/6
_____6. Let k be a nonzero integer. Which of the following is a
general expression for angles coterminal with 120°?
a. 120°+k (360°)
b. 120°+k (180°)
c. 120°+2k (360°)
d. 120°+k (90°)
_____7. What is the smallest positive coterminal angle of
500°?
a. 144°
b. 140°
c. 60°
d. 80°
_____8. Among the options, which is the largest negative
coterminal angle of 2π/3?
a. -4π/3
b. -2π/3
c. -8π/3
d. -π/3
_____9. Which of the following is the reference angle of 216°?
a. 84°
b. 66°
c. 54°
d. 36°
_____10. What is 7π/12 in degrees?
a. 150°
b. 115°
c. 105°
d. 151°
_____11. In which quadrant can we find θ if tan θ < 0 and sin
θ > 0?
a. First Quadrant
b. Second Quadrant
c. Third Quadrant
d. Fourth Quadrant
_____12. Which of the following angles is coterminal with
143°?
a. 217°
b. -37°
c. 323°
d. 503°
_____13. What is the value of sin² (15°) + cos² (15°)?
a. 0.5
b. 1
c. 1.5
d. 2
_____14. A point is in Quadrant I and on the unit circle. If its
x-coordinate is 2/5, what is its y-coordinate?
a. 4/5
b. -4/5
c. √21/5
d. -√21/5
_____15. For a terminal point P (x,y) on a unit circle
determined by any real number θ, which is equal to x?
a. sin θ
b. cos θ
c. tan θ
d. csc θ
_____16. What is the terminal point when θ= 225°?
a. (-√2/2, -√2/2)
b. (√2/2, -√2/2)
c. (1/2, -1/2)
d. (-1/2, -1/2)
_____17. What is the exact value of cos45°(tan30°+sin60°)?
a. (5√6)/12
b. (5√6)/4
c. (2√6)/3
d. √6/2
_____18. Which of the following has the same value as Sec
(38°)?
a. Csc (52°)
b. Sec (52°)
c. Sin (52°)
d. Cos (52°)
_____19. An angle in standard position whose measure is
1330° has a its terminal side on which quadrant?
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
_____20. If sec θ = – 5/3 and tan θ >0, what is sin θ?
a. –4/5
b. 4/5
c. –3/5
d. 3/5
_____21. What is the reference angle for an angle measuring θ
= 7π/5?
a. π / 5
b. 2π /5
c. 3π / 5
d. 4π / 5
_____22. Which of the following is not common to functions
y=sin (x) and y=cos (2x)?
a. domain
b. range
c. amplitude
d. shape
_____23. Which of the following statements is true about the
graphs of y=2cos (3x) and y=2cos(-3x)?
a. The functions have exactly the same graph.
b. The functions are reflection of one another along the
x-axis.
c. The functions have the same shape but different
graphs.
d. The function y=2cos (3x) has a higher curve than
y=2cos (-3x).
_____24. Which among the following is true?
a. cos (330°) = √3/2
b. sin (270°) = 1
c. csc (90°) = √2/2
d. cot (45°) = undefined
_____25. In which quadrant does the terminal point,
determined by θ, lie given that cot θ >0 and sin θ >0?
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV