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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.

  sin⁡θ=\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)