```Kepler Insight School of Science and Arts
P.G. Almendras St., Poblacion, Danao City, Cebu
6th Monthly Exam (January)- MATHEMATICS 9
Name: ________________________________________
Date: ________
Score: _______
Test I. Write the letter of the correct answer on the space provided using capital letter.
For items 1-5:
In the given triangle, X, Y, Z are the angles with Z as the right angle, and x, y, z are
X
the lengths of the sides.
z
z
y
\
\
Y
Y
YZ
x
\
___ 1) Which angle is acute? \
Y
I. ∠𝑋
II. ∠𝑌 Y
a. I, II, and III
b. I and II only
___ 2) Using ∠𝑋, which is the “adjacent” side?
I. x
II. Y
a. I only
b. II and III only
___ 3)Which ratio is equal cos Y?
𝑥
𝑥
a.
b.
𝑦
𝑧
___ 4) Which ratio is equal to csc X?
𝑥
𝑥
a.
b.
𝑧
𝑦
III. ∠𝑍
c. II only
d. I and III only
III. Z
c. II only
d. I and II only
c.
c.
𝑦
𝑦
𝑧
𝑧
𝑥
d.
d.
𝑦
𝑥
𝑦
𝑥
___ 5) Which trigonometric ratio is equal to ?
𝑧
a. csc Y
b. sin Y
c. tan Y
d. cot Y
___ 6)Which trigonometric ratios make a pair of reciprocals?
I. sin A and cos A
II. tan A and cot A
III. sec A and csc A
a. I only
c. III only
b. II only
d. I and III only
For items 7-12:
4
Given that sin 𝐴 = .
5
___ 7) What is the measure of the third side?
a. 1
b. 2
c. 3
d. 4
___ 8) What is cos 𝐴 ?
3
3
5
5
a.
b.
c.
d.
5
4
4
3
___ 9) What is cot A?
5
4
3
3
a.
b.
c.
d.
3
3
4
5
___ 10) What is csc A?
3
3
5
5
a.
b.
c.
d.
5
4
4
3
___ 11) What is sec A?
3
3
5
5
a.
b.
c.
d.
5
4
4
3
___ 12) What is tan A?
4
3
5
5
a.
b.
c.
d.
3
4
4
3
___ 13) Given that c and d which are the legs, and e as the hypotenuse. What is the value
of e when 𝑐 = 18 and 𝑑 = 80?
a. 81
b. 82
c. 83
d. 84
___ 14) What is tan 45?
a. 0
___ 15) What is sec 45?
a. 0
b.
√2
2
b. 1
1
c. 1
d.
c. √2
d. √3
2
Test II. Find the other 5 trigonometric ratios of B, given the following:
Take note: 2 pts. for the illustration (including the value of the unknown side)
and 1 point for each trigonometric ratio.
1) sin 𝐵 =
11
2. cos 𝐵 =
61
5
3) sec 𝐵 =
7
Test III. Find the numerical value of the following:
1) tan 30
_____
3) csc 45
_____
2) sin 60
_____
4) cot 60
_____
29
11
```