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TRIGONOMETRIC RATIOS FORM 3

Total questions: 20

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

What is the ratio for Sine?

a)

hypopp\frac{hyp}{opp}

b)

opphyp\frac{opp}{hyp}

c)

oppadj\frac{opp}{adj}

d)

adjopp\frac{adj}{opp}

2.

What is the ratio for Tangent

a)

oppadj\frac{opp}{adj}

b)

adjopp\frac{adj}{opp}

c)

opphyp\frac{opp}{hyp}

d)

hypopp\frac{hyp}{opp}

3.

What is the ratio for Cosine?

a)

opphyp\frac{opp}{hyp}

b)

oppadj\frac{opp}{adj}

c)

adjopp\frac{adj}{opp}

d)

adjhyp\frac{adj}{hyp}

4.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

5.
If you are given the two sides that are not the hypotenuse, which trigonometric function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
6.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

7.

What is the correct ratio for  cos C\cos\ C  ?

a)

 941\frac{9}{41}  

b)

 4041\frac{40}{41}  

c)

 419\frac{41}{9}  

d)

 409\frac{40}{9}  

8.

 cos X=\cos\ X=  

a)

 815\frac{8}{15}  

b)

 1715\frac{17}{15}  

c)

 1517\frac{15}{17}  

d)

 817\frac{8}{17}   

9.

 sin X=\sin\ X=  

a)

  1517\frac{15}{17}  

b)

 817\frac{8}{17}  

c)

 178\frac{17}{8}  

d)

  158\frac{15}{8}  

10.

 tan Z=\tan\ Z=  

a)

 3040\frac{30}{40}  

b)

 3050\frac{30}{50} 

c)

 4030\frac{40}{30} 

d)

 4050\frac{40}{50}  

11.

  sinθ=\sin\theta=  

a)

  45\frac{4}{5}  

b)

 34\frac{3}{4}  

c)

 54\frac{5}{4}  

d)

 35\frac{3}{5}  

12.

Choose the correct ratio.

a)

cos 33°=x14\cos\ 33\degree=\frac{x}{14}

b)

sin 33°=x14\sin\ 33\degree=\frac{x}{14}

c)

cos 33°=14x\cos\ 33\degree=\frac{14}{x}

d)

sin 33°=14x\sin\ 33\degree=\frac{14}{x}

13.

What is the correct equation to solve for x ?

a)

tan 46°=17x\tan\ 46\degree=\frac{17}{x}

b)

sin 46°=x17\sin\ 46\degree=\frac{x}{17}

c)

tan 46°=x17\tan\ 46\degree=\frac{x}{17}

d)

cos 46°=x17\cos\ 46\degree=\frac{x}{17}

14.

What is the correct equation to solve for x?

a)

tan 45°=x13\tan\ 45\degree=\frac{x}{13}

b)

cos 45°=x13\cos\ 45\degree=\frac{x}{13}

c)

sin 45°=13x\sin\ 45\degree=\frac{13}{x}

d)

sin 45°=x13\sin\ 45\degree=\frac{x}{13}

15.

 Identify the trigonometric ratio that may be used to find h.

a)

 sin 38° = h15\sin\ 38\degree\ =\ \frac{h}{15}  

b)

 sin 38° = 15h\sin\ 38\degree\ =\ \frac{15}{h}  

c)

 cos 38° = 15h\cos\ 38\degree\ =\ \frac{15}{h}  

d)

 tan 38°= h15\tan\ 38\degree=\ \frac{h}{15}  

16.

Find the measure of the missing angle. (Round off to 2 d.p.)

(a)  

17.

Find the measure of the indicated angle. (Round off the answer to 2 d.p.)

(a)  

18.

Find the length of x in cm. (Round off your answer to 2 d.p)

(a)  

19.

Calculate the value of x. (Give your answer correct to 2 d.p)

(a)  

20.

Calculate the value of d, in m. (Round off your answer to 1 d.p.)

(a)