Free Printable TRIGONOMETRIC RATIOS OF SPECIAL RIGHT TRIANGLE

1.

Which one is the easy trick to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

2.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

3.

Evaluate tan(30°), without the use of a calculator.

a)

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

b)

$\frac{\sqrt{1}}{2}\ or\ \frac{1}{2}$

c)

$\frac{1}{\sqrt{3}}\ or\ \frac{\sqrt{3}}{3}$

d)

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

4.

What is the cosine of angle P?

a)

$\frac{p}{q}$

b)

$\frac{q}{r}$

c)

$\frac{p}{r}$

d)

$\frac{r}{q}$

5.

Which mnemonic is the easy way to remember trigonometric ratios?

a)

SOH COH TOA

b)

SOH CAH TOA

c)

SOH CAH TAO

d)

SOH KAH TOA

6.

What ratio represents $\sin\ y$ ?

a)

$\frac{a}{b}$

b)

$\frac{c}{a}$

c)

$\frac{a}{c}$

d)

$\frac{b}{c}$

7.

sin u = _______

Simplify ratio if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{3}$

c)

$\frac{5}{4}$

d)

$\frac{4}{5}$

8.

What is the ratio of sides for Sin A?

a)

$\frac{hyp}{opp}$

b)

$\frac{hyp}{adj}$

c)

$\frac{opp}{hyp}$

d)

$\frac{opp}{adj}$

e)

$\frac{adj}{hyp}$

9.

What is the ratio of sides for Cos A?

a)

$\frac{adj}{hyp}$

b)

$\frac{adj}{opp}$

c)

$\frac{opp}{adj}$

d)

$\frac{opp}{hyp}$

e)

$\frac{hyp}{adj}$

10.

Use the proper Trig function to find the value of the hypotenuse. Round to nearest tenth.

a)

59.0

b)

6.43

c)

92.7

d)

24.8

e)

26.5

11.

For this 45-45-90 triangle what is the length of the legs?

a)

2

b)

6

c)

3

d)

$3\sqrt{2}$

e)

$2\sqrt{3}$

12.

What is the measure of side c?

a)

7

b)

7/√2

c)

7√2

d)

14

13.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

14.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

15.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

TRIGONOMETRIC RATIOS OF SPECIAL RIGHT TRIANGLE

Total questions: 15

Worksheet time: 15mins

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