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# 4th quarter periodic test review in trigonometry

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### 4th quarter periodic test review in trigonometry

1. 1. 4TH QUARTER PERIODIC TESTREVIEW IN TRIGONOMETRY
2. 2. QUESTION 1 How many triangles are formed given : a =16, b= 18 and m A = 45 . 2 triangles
3. 3. QUESTION 2 In ABC, a = 13, b = 11, and Find c. c = 12
4. 4. QUESTION 3 Write in terms of
5. 5. QUESTION 4 In FEU, , find 1 + cosF.
6. 6. QUESTION 5 Find cosM if a = 18, t = 27, and m = 15.
7. 7. QUESTION 6 Prove that
8. 8. QUESTION 7 In XYZ, m X = 25 , m Y = 75 , and x = 4. Find y. y = 9.1 units
9. 9. QUESTION 8 Find AM if AB = 8, AC = 10, BM = 7 and CM = 5. A B M C AM = 7.1 units
10. 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 cm and 14.1 cm Angles: 25.2 and 39.8 40.1 and 74.9
11. 11. QUESTION 10 Find the area of the shaded region. 24 units2
12. 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 cm1. 27.8 cm22. 7.93 cm3. BD = 0.912 cm and a = 7.99 cm
13. 13. QUESTION 12 Find the area of the shaded region. C 105 O 39 B D 53 110 49 A 5935 units2
14. 14. QUESTION 13 Find the area of the shaded region. 6m 6m 10 m 10 m 60 27 m2
15. 15. QUESTION 14 Find the area of the shaded region. 2.46 cm2
16. 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