1. 4TH QUARTER PERIODIC TEST
REVIEW IN TRIGONOMETRY

2. QUESTION 1
 How many triangles are formed given : a =16,
b= 18 and m A = 45 .
2 triangles

3. QUESTION 2
 In ABC, a = 13, b = 11, and Find c.
c = 12

4. QUESTION 3
 Write in terms of

5. QUESTION 4
 In FEU, , find 1 + cosF.

6. QUESTION 5
 Find cosM if a = 18, t = 27, and m = 15.

7. QUESTION 6
 Prove that

8. QUESTION 7
 In XYZ, m X = 25 , m Y = 75 , and x = 4. Find
y.
y = 9.1 units

9. QUESTION 8
 Find AM if AB = 8, AC = 10, BM = 7 and CM = 5.
A
B M C
AM = 7.1 units

10. QUESTION 9
 Two adjacent sides of a parallelogram are 10 cm
and 15 cm, an included angle is 115. Find the
lengths of the diagonals and the angles they form
with the sides of the parallelogram.
Diagonals: 21.3 and 14.1
Angles: 22.3 and 39.8

11. QUESTION 10
 Find the area of the shaded region.
24 units2

12. QUESTION 11
o The figure below shows a ΔABC where
A = 52.5°, b = 10 cm, and c = 7 cm.
C
1. Find the area of ΔABC.
2. Find the altitude CD. 10 cm
a
3. Find BD and the side a.
A D B
7 cm
1. 27.8 cm2
2. 7.93 cm
3. BD = 0.912 cm and a = 7.99 cm

13. QUESTION 12
 Find the area of the shaded region.
C
105
O 39
B D
53
110 49
A
5935 units2

14. QUESTION 13
 Find the area of the shaded region.
6m 6m
10 m 10 m
60
27 m2

15. QUESTION 14
 Find the area of the shaded region.
2.46 cm2

16. QUESTION 15
 Three circles of radii 4, 5, and 6 cm are mutually
tangent. Find the shaded area enclosed between
the circles..
4 cm2