Free Printable Methods Trigonometry Review

1.

In a rectangle ABCD, the angle CAD is 27° and the side AD is 3 cm. The length of the diagonal AC in cm is closest to:

a)

6.61

b)

5.89

c)

3.37

d)

2.67

e)

1.53

2.

The exact value of $\sin(45°)+\tan(30°)\times\cos(60°)$ is:

a)

$\frac{3}{2}$

b)

$\frac{\sqrt[]{2}+1}{2}$

c)

$\frac{3\sqrt[]{2}+\sqrt[]{3}}{6}$

d)

$\frac{3\sqrt[]{2}+2\sqrt[]{3}}{12}$

e)

$\frac{3\sqrt[]{6}+6}{12}$

3.

An angle of 100° has a radian equivalent of:

a)

$\frac{5\pi}{9}$

b)

$\frac{7\pi}{9}$

c)

$\frac{2\pi}{3}$

d)

0.573

e)

1.8

4.

An arc subtends an angle of 30° at the centre of a circle of radius 33 cm. The length of the arc, in cm, is:

a)

$\frac{\pi}{2}$

b)

90

c)

$\pi$

d)

180

e)

$\frac{3\pi}{4}$

5.

A possible value of θ for the trigonometric point P[θ] is:

a)

$\frac{\pi}{5}$

b)

$\frac{4\pi}{5}$

c)

$\frac{6\pi}{5}$

d)

$\frac{7\pi}{10}$

e)

$-\pi$

6.

The value of sin (θ) is given by the length of the line segment:

a)

OP

b)

PA

c)

ON

d)

NP

7.

In which quadrant(s) is $\sin(θ)<0$ and $\cos(θ)>0$ ?

a)

Quadrant 1
(top right)

b)

Quadrant 2
(top left)

c)

Quadrant 3
(bottom left)

d)

Quadrant 4
(bottom right)

e)

Both Quadrant 2 and 4

8.

The exact value of tan (330°) is:

a)

1

b)

-1

c)

$\sqrt[]{3}$

d)

$-\sqrt[]{3}$

e)

$-\frac{\sqrt[]{3}}{3}$

9.

The exact value of cos(−5π) is:

a)

1

b)

-1

c)

0

d)

5

e)

-5

10.

The value of sin (4.5°) is approximately equal to:

a)

$\frac{\sqrt[]{2}}{20}$

b)

4.5

c)

$\frac{\pi}{40}$

d)

$\frac{\pi}{400}$

e)

$1-\frac{1}{2}\times4.5^2$

11.

What rule should you use?

a)

Sine

b)

Cosine

12.

What rule should you use?

a)

Sine

b)

Cosine

13.

What rule should you use?

a)

Sine

b)

Cosine

14.

What rule should you use?

a)

Sine

b)

Cosine

15.

a)

10.1

b)

10.0

c)

10.9

d)

8.86

16.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

17.

When using the sine rule how many parts (fractions) do you need to equate?

a)

All 3 parts

b)

1 part

c)

2 parts

18.

Which of the following formulas is the Cosine rule?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

19.

Find the missing side x

a)

2.36cm

b)

9.21cm

c)

3.16cm

d)

4.51cm

20.

Find the missing angle θ

a)

68^o

b)

133^o

c)

116^o

d)

121^o

21.

Find the missing angle θ

a)

27.9^o

b)

29.2^o

c)

26.8^o

d)

45^o

22.

Triangle ABC has side a = 3, side b = 5, and side c = 7. Find the size of angle A.

a)

22⁰

b)

38⁰

c)

120⁰

d)

150⁰

23.

Find the length of AB

a)

10

b)

8

c)

6.1

d)

4.9

24.

Find the area of the triangle to one decimal place.

(a)

25.

Find the area

of a triangle with two

sides that measure 6 yds

and 2 yds with an included

angle of 10°. Round to 2 decimal places.

(a)

26.

Find the area of the triangle

a)

24.0 cm²

b)

47.9 cm²

c)

19.7 cm²

d)

23.967 cm²

27.

Click on the elements we need to calculate the area of this triangle.

(you should click on more than one choice)

a)

sine of $\alpha$

b)

sides a & b

c)

sides a & c

d)

sides b & c

Methods Trigonometry Review

Total questions: 27

Worksheet time: 1hrs 21mins

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