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Trig Functions- Special Right Triangles

Total questions: 16

Worksheet time: 47mins

Name
Class
Date
1.

Use your calculator to find tan  34°34\degree   . Round to the nearest hundredth.

(a)  

2.

What is the cosine of angle P?

a)

 pq\frac{p}{q}  

b)

 qr\frac{q}{r}  

c)

 pr\frac{p}{r}  

d)

 rq\frac{r}{q}  

3.

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

a)

sin x

b)

cos x

c)

tan x

d)

Trig functions only apply to right triangles.

4.

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

5.

What ratio represents sin y\sin\ y  ?

a)

 ab\frac{a}{b}  

b)

 ca\frac{c}{a}  

c)

 ac\frac{a}{c}  

d)

 bc\frac{b}{c}  

6.

sin u = _______            

  Simplify ratio if needed.

a)

 35\frac{3}{5}  

b)

 43\frac{4}{3}  

c)

 54\frac{5}{4}  

d)

 45\frac{4}{5}  

7.

Find value x of by writing a trig equation & solving for x.

Round to the nearest hundredth or the 2nd decimal place.

Write number only, NOT x = #,

(a)  

8.

What is the ratio of sides for Sin A?

a)

 hypopp\frac{hyp}{opp}  

b)

 hypadj\frac{hyp}{adj}  

c)

 opphyp\frac{opp}{hyp}  

d)

 oppadj\frac{opp}{adj}  

e)

 adjhyp\frac{adj}{hyp}  

9.

What is the ratio of sides for Cos A?

a)

adjhyp\frac{adj}{hyp}

b)

adjopp\frac{adj}{opp}

c)

oppadj\frac{opp}{adj}

d)

opphyp\frac{opp}{hyp}

e)

hypadj\frac{hyp}{adj}

10.

Cos 30 =

Round your answer to the nearest tenth. Give number only.

(a)  

11.

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

12.

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

a)

2

b)

6

c)

3

d)

323\sqrt{2}

e)

232\sqrt{3}

13.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
14.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
15.

Find x, then find Area of the triangle round to the nearest whole number.

a)

27

b)

40.5

c)

47

d)

23

16.

Find the value of y.

a)

 636\sqrt{3}  

b)

 363\sqrt{6}  

c)

9

d)

 666\sqrt{6}