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Worksheets

Triggy

Total questions: 28

Worksheet time: 17mins

Name
Class
Date
1.

Convert the following below to radians:

 35°35\degree  
Write your answer as a fraction then pi.
Ex: 1/2 pi



(a)  

2.

 45°45\degree  can be written as what in radians?



a)

 π3\frac{\pi}{3}  

b)

 π8\frac{\pi}{8}  

c)

 π4\frac{\pi}{4}  

d)

 π2\frac{\pi}{2}  

3.

 π4-\frac{\pi}{4}  is the same thing as which of the following?



a)

 315°315\degree  

b)

 5π4\frac{5\pi}{4}  

c)

 45°45\degree  

d)

 π4\frac{\pi}{4}  

4.

 What trig function represents:

 adjhyp\frac{adj}{hyp}  

a)

Sine

b)

Cosine

c)

Cosecant

d)

Secant

5.

What is the value of
 cos(π3)\cos\left(\frac{\pi}{3}\right)  

a)

 12\frac{1}{2}  

b)

 32\frac{\sqrt{3}}{2}  

c)

 3\sqrt{3}  

d)

 12-\frac{1}{2}  

6.

Which of the following represents:
 oppadj\frac{opp}{adj}  


a)

 1tan(θ)\frac{1}{\tan\left(\theta\right)}  

b)

 1cot(θ)\frac{1}{\cot\left(\theta\right)}  

c)

 cot(θ)\cot\left(\theta\right)  

d)

 tan(θ)\tan\left(\theta\right)  

7.

Convert
 5π4\frac{5\pi}{4}   to degrees


a)

 215°215\degree  

b)

 225°225\degree  

c)

 315°315\degree  

d)

 135°135\degree  

8.

Simplify:


 tan(x)cos(x)csc(x)\frac{\tan\left(x\right)\cos\left(x\right)}{\csc\left(x\right)}  

a)

 cot(x)\cot\left(x\right)  

b)

 sin2(x)\sin^2\left(x\right)  

c)

 csc2(x)\csc^2\left(x\right)  

d)

 tan(x)\tan\left(x\right)  

9.

Evaluate when  \frac{\pi}{6}   of the equation  \csc^2\left(\theta\right)-\cot^2\left(\theta\right)  




(a)  

10.

 Simplify       2(sin2(θ)+cos2(θ))Simplify\ \ \ \ \ \ \ 2\left(\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\right)  

(a)  

11.

Which of the following is the simplified answer to :
 cot(x)sin(x)tan(x)\frac{\cot\left(x\right)\sin\left(x\right)}{\tan\left(x\right)}  


a)

 sin2(x)cos(x)\frac{\sin^2\left(x\right)}{\cos\left(x\right)}  

b)

 cot(x)cos(x)\cot\left(x\right)\cos\left(x\right)  

c)

 cot(x)sin(x)\cot\left(x\right)\sin\left(x\right)  

d)

 sin(x)\sin\left(x\right)  

12.

Based on the image above, if

 cos(θ) = 45\cos\left(\theta\right)\ =\ \frac{4}{5}  , what is the area of the triangle?

a)

6 units squared

b)

16 units squared

c)

12 units squared

d)

25 units squared

13.

 tan(θ) = 34\tan\left(\theta\right)\ =\ \frac{3}{4}  

Based on the statement above, what is  csc(θ)\csc\left(\theta\right)  equal to?

a)

 253\frac{25}{3}  

b)

 53\frac{5}{3}  

c)

 163\frac{16}{3}  

d)

 43\frac{\sqrt{4}}{3}  

14.

 sin(x)cos(x)tan(x)\frac{\sin\left(x\right)\cos\left(x\right)}{\tan\left(x\right)}  

Evaluate the expression above when 



 θ= 4π3\theta=\ \frac{4\pi}{3}  

a)

 3\sqrt{3}  

b)

 14\frac{1}{4}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 33\frac{\sqrt{3}}{3}  

15.

If  cot(θ) = 68\cot\left(\theta\right)\ =\ \frac{6}{8}  , what is  sec(θ)=?\sec\left(\theta\right)=?  


a)

 43\frac{4}{3}  

b)

 54\frac{5}{4}  

c)

 53\frac{5}{3}  

d)

 1010  

16.

If  y = 2sin(3x)y\ =\ -2\sin\left(3x\right)  , what is the amplitude of the function?


a)

-2

b)

2

c)

 3π2\frac{3\pi}{2}  

d)

 2π3\frac{2\pi}{3}  

17.

If  y = 4 cos(2x)y\ =\ 4\ \cos\left(2x\right)  , what is the period of the function?


a)

1

b)

 π2\frac{\pi}{2}  

c)

 π\pi  

d)

 2π2\pi  

18.

If  y = sin(2πx)y\ =\ \sin\left(2\pi x\right)   what is the period of the function?


a)

 π\pi  

b)

 11  

c)

 2π2\pi  

d)

Noe period can be found

19.

What trig function represents:

 hypopp\frac{hyp}{opp}  

a)

 cos(x)\cos\left(x\right)  

b)

 sin(x)\sin\left(x\right)  

c)

 sec(x)\sec\left(x\right)  

d)

 csc(x)\csc\left(x\right)  

20.

Convert  360°360\degree   to radians.



a)

 2π2\pi  

b)

 π\pi  

c)

 π2\frac{\pi}{2}  

d)

 00  

21.

 cot(x)tan(x)cos(x)sin(x)\frac{\cot\left(x\right)\tan\left(x\right)}{\cos\left(x\right)\sin\left(x\right)}  



Evaluate the function above when  x= π3x=\ \frac{\pi}{3} 


a)

 33\frac{\sqrt{3}}{3}  

b)

 43\frac{4}{3}  

c)

 433\frac{4\sqrt{3}}{3}  

d)

2

22.

What quadrant is  3π4\frac{3\pi}{4}  in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

23.

Select all that applies:

 2π2\pi  is also equal to....

a)

 0°0\degree  

b)

 4π4\pi  

c)

 360°360\degree  

d)

 6π3\frac{6\pi}{3}  

24.

What possible quadrant is  θ\theta  located in when  cos(θ)= 35\cos\left(\theta\right)=\ -\frac{3}{5}  


a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

25.

If  0<θ<2π0<\theta<2\pi  , what is  θ\theta  if  cos(θ)= 12\cos\left(\theta\right)=\ -\frac{1}{2}  


a)

 2π3\frac{2\pi}{3}  

b)

 7π6\frac{7\pi}{6}  

c)

 4π3\frac{4\pi}{3}  

d)

 11π6\frac{11\pi}{6}  

26.

What is the value of

 cos(θ)\cos\left(\theta\right)  when  θ= 16π\theta=\ 16\pi  

a)

0

b)

1

c)

2

d)

1/2

27.

 30°30\degree  

What is the degree measure in terms of radians?

a)

 π3\frac{\pi}{3}  

b)

 π6\frac{\pi}{6}  

c)

 2π6\frac{2\pi}{6}  

d)

 4π24\frac{4\pi}{24}  

28.

What possible quadrant is   θ \theta\   
  located in when   sin(θ)=35\sin\left(\theta\right)=-\frac{3}{5}  

  

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4