4TH QUARTER PERIODIC TEST REVIEW IN TRIGONOMETRY

QUESTION 1

How many triangles are formed given : a =16, b= 18 and mA = 45.

2 triangles

QUESTION 2

In ABC, a = 13, b = 11, and Find c.

c = 12

QUESTION 3

Write in terms of

QUESTION 4

In FEU, , find 1 + cosF.

QUESTION 5

Find cosM if a = 18, t = 27, and m = 15.

QUESTION 6

Prove that

QUESTION 7

In XYZ, mX = 25, mY = 75, and x = 4. Find y.

y = 9.1 units

QUESTION 8

Find AM if AB = 8, AC = 10, BM = 7 and CM = 5.

AM = 7.1 units

A

CMB

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

QUESTION 10

Find the area of the shaded region.

24 units2

QUESTION 11

o The figure below shows a ΔABC where A = 52.5°, b = 10 cm, and c = 7 cm.

1. Find the area of ΔABC.2. Find the altitude CD.3. Find BD and the side a.

1. 27.8 cm2

2. 7.93 cm3. BD = 0.912 cm and a = 7.99 cm

A D B

10 cma

C

7 cm

QUESTION 12

Find the area of the shaded region.

5935 units2

53 49

39 105

110

B

A

C

D

O

QUESTION 13

Find the area of the shaded region.

27 m2

6 m 6 m

10 m 10 m60

QUESTION 14

Find the area of the shaded region.

2.46 cm2

QUESTION 15

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

4 cm2