Free Printable FOURTH QUARTER REVIEWER FOR GRADE 9 LEARNERS

1.

Which trigonometric function is equivalent to the ratio $\frac{opposite\ leg}{hypotenuse}$ ?

a)

csc

b)

cos

c)

sec

d)

sin

2.

Which trigonometric function is equivalent to the ratio $\frac{adjacent\ side}{opposite\ side}$ ?

a)

tangent

b)

cotangent

c)

secant

d)

sine

3.

What is the formula for the tangent value of any acute angle of a right triangle?

a)

$\frac{adjacent\ side}{hypotenuse}$

b)

$\frac{adjacent\ side}{opposite\ side}$

c)

$\frac{opposite\ side}{adjacent\ side}$

d)

$\frac{opposite\ side}{hypotenuse}$

4.

Which of the following ratio is equal to the cosecant function?

a)

$\frac{adjacent\ side}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite\ side}$

c)

$\frac{adjacent\ side}{hypotenuse}$

d)

$\frac{opposite\ side}{hypotenuse}$

5.

Which of the following is the reciprocal of cosine?

a)

sine

b)

secant

c)

cotangent

d)

cosecant

6.

In right triangle ABC where C is the right angle, which of the following is true?

a)

$\sin A=\cos B$

b)

$\sin A=\csc B$

c)

$\tan B=\cot B$

d)

$\tan A=\cot A$

7.

Which of the following is equivalent to cos F?

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{5}{4}$

d)

$\frac{5}{3}$

8.

Which of the following is equivalent to csc D?

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{5}{4}$

d)

$\frac{5}{3}$

9.

What is $\tan F$ ?

a)

$\frac{3}{4}$

b)

$\frac{4}{5}$

c)

$\frac{5}{4}$

d)

$\frac{5}{3}$

10.

Which expression has the same value as sec F?

a)

$\csc D$

b)

$\csc F$

c)

$\cos D$

d)

$\cos F$

11.

Which of the following is the value of sin 30°?

a)

$\frac{\sqrt{2}}{2}$

b)

$\frac{2\sqrt{3}}{3}$

c)

$\frac{1}{2}$

d)

$\frac{\sqrt{3}}{3}$

12.

What is the value of tan 30°?

a)

$\frac{\sqrt{2}}{2}$

b)

$\frac{2}{3}\sqrt{3}$

c)

$\frac{\sqrt{3}}{2}$

d)

$\frac{\sqrt{3}}{3}$

13.

What is cos 45°?

a)

$\frac{\sqrt{2}}{2}$

b)

$\frac{2}{3}\sqrt{3}$

c)

$\frac{\sqrt{3}}{2}$

d)

$\frac{\sqrt{3}}{3}$

14.

In triangle ABC, C is the biggest angle, what is the formula in getting side "c"? Where sides a and b and angle C are given?

a)

$c=\sqrt{a^2+b^2-2ab\cos C}$

b)

$c=\sqrt{a^2-b^2+2ab\cos C}$

c)

$c=\sqrt{a^2-b^2-2ab\cos C}$

d)

$c=\sqrt{a^2+b^2+2ab\cos C}$

15.

Which equation will be used to find the length of x?

a)

$x^2=10^2+9^2+2\left(10\right)\left(9\right)\cos45\degree$

b)

$x^2=10^2-9^2+2\left(10\right)\left(9\right)\cos45\degree$

c)

$x^2=10^2-9^2-2\left(10\right)\left(9\right)\cos45\degree$

d)

$x^2=10^2+9^2-2\left(10\right)\left(9\right)\cos45\degree$

16.

Which of the following is true about angles of elevation and depression?

a)

The angles of elevation and depression are different angles but have the same measure.

b)

The angles of elevation and depression are the same angles in the same position.

c)

The angles of elevation and depression have different measures.

d)

The angles of elevation and depression are both obtuse angles.

17.

Joey, who is in the third floor of a building, is looking at a tree on the ground. The angle formed between his eye level and his line of sight to the tree is 37°. What angle is identified in the problem?

a)

oblique triangle

b)

acute triangle

c)

angle of depression

d)

angle of elevation

18.

Given the figure at right, which refers to the angle of elevation?

a)

$\angle SQP$

b)

$\angle SQR$

c)

$\angle PQR$

d)

$\angle PRQ$

19.

What is the exact value of 4 sin 30°?

a)

1

b)

2

c)

3

d)

4

20.

A tower 20 meters high casts a shadow $20\sqrt{3}$ meters long. What is the angle of elevation from the tip of the shadow to the sun?

a)

$30\degree$

b)

$45\degree$

c)

$60\degree$

d)

$90\degree$

FOURTH QUARTER REVIEWER FOR GRADE 9 LEARNERS - TRIGONOMETRY

Total questions: 20

Worksheet time: 11mins

Similar Resources on Wayground