Free Printable Trigonometric Functions Quiz

1.

Given the right Δ𝑋𝑌𝑍 with side lengths 8 cm, 15 cm, and 17 cm.

What is the value of sin X?

a)

$a.\ \frac{15}{17}$

b)

$b.\ \frac{17}{15}$

c)

$b.\ \frac{8}{15}$

d)

$b.\ \frac{17}{8}$

2.

What is the value of cos X?

a)

$a.\ \frac{15}{17}$

b)

$b.\ \frac{17}{15}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{8}$

3.

What is the value of tan X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{8}$

4.

What is the value of csc X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{15}$

5.

What is the value of sec X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{8}$

6.

What is the value of cot X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{8}{15}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{8}$

7.

If 𝑓(𝛳)= $\frac{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜𝑓\ 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡\ 𝑠𝑖𝑑𝑒\ }{l𝑒𝑛𝑔𝑡ℎ\ 𝑜f\ ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒\ }$ , then 𝑓(𝛳) is ________.

a)

a. sine

b)

b. cosine

c)

c. tangent

d)

d. secant

8.

If 𝑓(𝛳)= $\frac{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜𝑓\ opposite\ side\ }{l𝑒𝑛𝑔𝑡ℎ\ 𝑜f\ ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒\ }$ , then 𝑓(𝛳) is ________.

a)

a. sine

b)

b. cosine

c)

c. tangent

d)

d. secant

9.

If 𝑓(𝛳)= $\frac{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜𝑓\ opposite\ side\ }{l𝑒𝑛𝑔𝑡ℎ\ 𝑜f\ adjacent\ }$ , then 𝑓(𝛳) is ________.

a)

a. sine

b)

b. cosine

c)

c. tangent

d)

d. secant

10.

If 𝑓(𝛳)= $\frac{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜𝑓\ hypotenuse\ }{l𝑒𝑛𝑔𝑡ℎ\ 𝑜f\ adjacent\ }$ , then 𝑓(𝛳) is ________.

a)

a. cosecant

b)

b. cotangent

c)

c. tangent

d)

d. secant

11.

With respect to the given angle, what trigonometric function is the ratio of the hypotenuse to the opposite side?

a)

a. sine

b)

b. cosine

c)

c. tangent

d)

d. cosecant

12.

Based on the right triangle ACB below, which of the following has the same value as sin A?

a)

a. cos A

b)

b. sin B

c)

c. cos B

d)

d. tan A

13.

Which of the following trigonometric functions of θ has the value $\frac{2}{3}$ ?

a)

a. tan

b)

b. cot

c)

c. cos

d)

d. sec

14.

In a right triangle PQR, |PQ| = 12 cm and |QR| = 5 cm. What is the value of cos R?

a)

$\frac{12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{5}{12}$

d)

$\frac{12}{5}$

15.

It is a trigonometric function the value of which is the quotient of the length of

the hypotenuse and the length of the side opposite the given angle.

a)

a. cosecant

b)

b. cotangent

c)

c. secant

d)

d. tangent

16.

It is a trigonometric function the value of which is the quotient of the length of

the hypotenuse and the length of the side adjacent to the given angle.

a)

a. cosecant

b)

b. cotangent

c)

c. secant

d)

d. tangent

17.

It is a trigonometric function the value of which is the quotient of the length of

the side adjacent to and the length of the side opposite the given angle.

a)

a. cosecant

b)

b. cotangent

c)

c. secant

d)

d. tangent

18.

What is the value of csc X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{17}{15}$

c)

c. $\frac{8}{15}$

d)

d. $\frac{17}{8}$

19.

What is the value of sec X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{17}{15}$

c)

c. $\frac{8}{15}$

d)

d. $\frac{17}{8}$

20.

What is the value of cot X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{15}$

d)

d. $\frac{17}{8}$

21.

What is the value of cos X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{17}{8}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{15}$

22.

What is the value of sin X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{17}$

d)

d. $\frac{17}{8}$

23.

What is the value of tan X?

a)

a. $\frac{15}{17}$

b)

b. $\frac{15}{8}$

c)

c. $\frac{8}{15}$

d)

d. $\frac{17}{8}$

24.

If 𝑓( $\theta$ ) = $\frac{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜𝑓\ adjacent\ side}{𝑙𝑒𝑛𝑔𝑡ℎ\ 𝑜f\ ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒}$ , then 𝑓( $\theta$ ) is __________ $\theta$ .

a)

a. secant

b)

b. cosine

c)

c. tangent

d)

d. cotangent

25.

With respect to the given angle, what is the ratio of the hypotenuse to the

opposite side?

a)

a. secant

b)

b. cosine

c)

c. tangent

d)

d. cosecant

26.

Which of the following ratio has the same value as csc A?

a)

a. sec A

b)

b. csc B

c)

c. sec B

d)

d. sec C

27.

Which of the following is equal to $\frac{3}{2}$ ?

a)

a. tan A

b)

b. cot A

c)

c. sec A

d)

d. csc A

28.

In a right triangle PQR, |PQ| = 12 cm and |QR| = 5 cm. What is sec R?

a)

a. $\frac{12}{13}$

b)

b. $\frac{5}{13}$

c)

c. $\frac{5}{12}$

d)

d. $\frac{13}{5}$

29.

Let Δ𝐴𝐵𝐶 be a right triangle such that ∠𝐴 and ∠𝐵 are acute angles. What is the

relationship between tan A and cot B?

a)

a. equal

b)

b. cofunction

c)

c. complementary

d)

d. reciprocal

Trigonometric Functions Quiz

Total questions: 29

Worksheet time: 5mins

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