Free Printable Basic Trig Ratios Assignment

1.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

2.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

3.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

4.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

5.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

6.

What side is the hypotenuse of the triangle?

a)

9

b)

40

c)

41

d)

none

7.

What is a common way to remember the definitions of the trig ratios?

a)

SAH COH TOA

b)

SOA COH TOA

c)

SOH CAH TOA

d)

ADJ OPP HYP

8.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

9.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

10.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

11.

a)

A

b)

B

c)

C

d)

D

12.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

13.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

14.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

15.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

19.

Find tan( $\alpha$ ) in the triangle.

a)

$\frac{21}{29}$

b)

$\frac{20}{29}$

c)

$\frac{21}{20}$

d)

$\frac{20}{21}$

20.

Find sin( $\alpha$ ) in the triangle.

a)

$\frac{12}{35}$

b)

$\frac{35}{37}$

c)

$\frac{35}{12}$

d)

$\frac{12}{37}$

21.

Find the cos( $\alpha$ ) in the triangle.

a)

$\frac{21}{20}$

b)

$\frac{20}{29}$

c)

$\frac{21}{29}$

d)

$\frac{20}{21}$

22.

In the diagram above, which of the following is true?

a)

sin(e) = $\frac{12}{17}$

b)

cos(e) = $\frac{12}{17}$

c)

sin(e) = $\frac{17}{12}$

d)

tan(e) = $\frac{17}{12}$

23.

Which is true based on the triangle above?

a)

sin(x) = $\frac{15}{39}$ ; cos(x) = $\frac{36}{39}$ ; tan(x) = $\frac{36}{15}$

b)

sin(x) = $\frac{15}{39}$ ; cos(x) = $\frac{36}{39}$ ; tan(x) = $\frac{15}{36}$

c)

sin(x) = $\frac{15}{39}$ ; cos (x) = $\frac{39}{36}$ ; tan(x) = $\frac{36}{15}$

d)

sin(x) = $\frac{15}{39}$ ; cos(x) = $\frac{39}{36}$ ; tan(x)= $\frac{15}{36}$

24.

Using the triangle above, which is true?

a)

sin(C) = $\frac{17}{15}$ ; cos(C) = $\frac{17}{8}$ ; tan(C) = $\frac{8}{15}$

b)

sin(C) = $\frac{15}{17}$ ; cos(C) = $\frac{8}{17}$ ; tan(C) = $\frac{8}{15}$

c)

sin(C) = $\frac{15}{17}$ ; cos(C) = $\frac{8}{17}$ ; tan(C) = $\frac{15}{8}$

d)

No correct answer

25.

Which of the following is true for the triangle above?

a)

sin(A) = $\frac{9}{15}$ ; cos(A) = $\frac{12}{15}$ ; tan(A) = $\frac{9}{12}$

b)

sin(A) = $\frac{3}{5}$ ; cos(A) = $\frac{4}{5}$ ; tan(A) = $\frac{3}{4}$

c)

Both answers are correct.

d)

There is no correct answer.

Basic Trig Ratios Assignment

Total questions: 25

Worksheet time: 6hrs 15mins

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