Mathematics 9 _____12.

It is the non-hypotenuse side that is right next to the

Quiz #4.1 given angle.
A. adjacent B. diagonal
Name: _________________________ Score: ____________
C. hypotenuse D. opposite
Grade and Section: ________________ Date: _____________
Mathematics 9
I. Multiple Choice - Directions: Read the following statements Quiz #4.1
carefully. Write the CAPITAL letter of your answer on the space
provided before the number. Name: _________________________ Score: ____________
_____1. Which of the following statements is true about Grade and Section: ________________ Date: _____________
trigonometry? I. Multiple Choice - Directions: Read the following statements
i. Trigonometry is a branch of Mathematics which comes from carefully. Write the CAPITAL letter of your answer on the space
the Greek word Trigo means “triangle” and Metron means “to provided before the number.
measure. _____1. Which of the following statements is true about
ii. Geometry and algebra are merged and combined in trigonometry?
trigonometry. i. Trigonometry is a branch of Mathematics which comes from
iii. Trigonometry is concerned with the relationship and the Greek word Trigo means “triangle” and Metron means “to
measurement between the sides and angles of triangles. measure.
A. i, ii, iii B. i, ii C. i, iii D. ii, iii ii. Geometry and algebra are merged and combined in
_____2. Trigonometry studies about triangles, what kind of trigonometry.
triangle does trigonometry focus on? iii. Trigonometry is concerned with the relationship and
A. acute B. equiangular C. obtuse D. right measurement between the sides and angles of triangles.
_____3. Which of the following measurements cannot be used as A. i, ii, iii B. i, ii C. i, iii D. ii, iii
dimension of sides of a triangle? _____2. Trigonometry studies about triangles, what kind of
A. 1, 1, √ 2 B. 3, 4, 5 C. 2, 4, 6 D. 6, 8, 10 triangle does trigonometry focus on?
A. acute B. equiangular C. obtuse D. right
_____4. The acute angles of a right triangle are in a 1:2 ratio, _____3. Which of the following measurements cannot be used as
what are the angles? dimension of sides of a triangle?
A. 20 ° and 40 ° B. 28° and 56° A. 1, 1, √ 2 B. 3, 4, 5 C. 2, 4, 6 D. 6, 8, 10
C. 30° and 60° D. 32° and 64°
For items # 5-9: Analyze the illustration. _____4. The acute angles of a right triangle are in a 1:2 ratio,
_____5. □ABCD is a square. If BD is illustrated, what are the angles?
1cm A. 20 ° and 40 ° B. 28° and 56°
what part of triangle is BD?
A. adjacent B. diagonal C. 30° and 60° D. 32° and 64°
C. hypotenuse D. opposite For items # 5-9: Analyze the illustration.
_____6. If a diagonal is drawn in □ABCD, two triangles is formed. _____5. □ABCD is a square. If BD is illustrated,
1cm
The triangle formed is an example of _______________. what part of triangle is BD?
A. 30°-60°-90° B. 45°-45°-90° A. adjacent B. diagonal
C. right triangle D. cannot be determine C. hypotenuse D. opposite
_____7. Which of the following trigonometric ratios is equal to 1? _____6. If a diagonal is drawn in □ABCD, two triangles is formed.
A. cosecant B. cosine C. sine D. tangent The triangle formed is an example of _______________.
_____8. What is sinA in the triangle formed in □ABCD? A. 30°-60°-90° B. 45°-45°-90°

A.
1
B.
√3 C.
1
D.
√2 C. right triangle D. cannot be determine
_____7. Which of the following trigonometric ratios is equal to 1?
2 2 √2 2
_____9. If the sides of □ABCD is 2cm, what is the measurement A. cosecant B. cosine C. sine D. tangent
of its diagonal? _____8. What is sinA in the triangle formed in □ABCD?
A. 2 B. √ 2 C. 4 D. 2 √ 2 A.
1
B.
√3 C.
1
D.
√2
_____10. Which of the following shows correct relationship 2 2 √2 2
between reciprocals of trigonometric ratios? _____9. If the sides of □ABCD is 2cm, what is the measurement
1 1 of its diagonal?
A. sinθ= B. tanθ= A. 2 B. √ 2 C. 4 D. 2 √ 2
cosθ cotθ
1 _____10. Which of the following shows correct relationship
B. secθ= D. none of the following between reciprocals of trigonometric ratios?
cscθ
1 1
_____11. It is defined as the ratio of the length of the hypotenuse A. sinθ= B. tanθ=
to the length of the opposite side. cosθ cotθ
A. csc B. sec C. sin D. tan 1
B. secθ= D. none of the following
cscθ
_____11. It is defined as the ratio of the length of the hypotenuse 43-46. sec 45 °+ cos 60 °
to the length of the opposite side.
A. csc B. sec C. sin D. tan
_____12. It is the non-hypotenuse side that is right next to the
given angle.
A. adjacent B. diagonal 47-50. ( csc 30 ° )2 (tan 60 °)
C. hypotenuse D. opposite
For items # 13-15: Analyze the given.
AC=5 cm ; AB=13 cm ; CB=12 cm
_____13. Which of the following angle is the right angle?
A. ∠ A B. ∠ B
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C. ∠ C D. cannot be determine
_____14. What is the value of sinA? For items # 13-15: Analyze the given.
5 12 13 AC=5 cm ; AB=13 cm ; CB=12 cm
A. B. C. D. _____13. Which of the following angle is the right angle?
13 13 5
A. ∠ A B. ∠ B
13
C. ∠ C D. cannot be determine
12
_____14. What is the value of sinA?
_____15. Which trigonometric ratio is equal to sinA but the
refence angle is B?
5 12 13
A. B. C. D.
A. sinB B. secB C. cscB D. cosB 13 13 5
13
II. Analysis - Directions: Analyze the given data.
Given: ∠ K isthe reference angle .
12
_____15. Which trigonometric ratio is equal to sinA but the
k =15 cm , a=25 cm , i=20 cm
refence angle is B?
16-20. Illustrate the right triangle.
A. sinB B. secB C. cscB D. cosB
II. Analysis - Directions: Analyze the given data.
Given: ∠ K isthe reference angle .
k =15 cm , a=25 cm , i=20 cm
16-20. Illustrate the right triangle.
21. right angle = _______________
22. hypotenuse = ______________
23. opposite = _________________
24. adjacent = _________________
25. 26. cosθ 27.tanθ 28. 29. 30.
sinθ cotθ secθ cscθ 21. right angle = _______________
22. hypotenuse = ______________
23. opposite = _________________
24. adjacent = _________________
III. Solving - Directions: Perform the indicated operation. 25. 26. cosθ 27.tanθ 28. 29. 30.
31-34. (sin 30 °)(sec 60 °) sinθ cotθ secθ cscθ

III. Solving - Directions: Perform the indicated operation.

35-38. cot 45° + tan 60 ° 31-34. (sin 30 °)(sec 60 °)

csc 60° 35-38. cot 45° + tan 60 °

39-42.
tan 45°
 csc 60°
39-42.
tan 45°

43-46. sec 45 °+ cos 60 °

47-50. ( csc 30 ° )2 (tan 60 °)

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