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Worksheets

Trigonometry

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
2.

 sin(90°θ)=\sin\left(90\degree-\theta\right)=  

a)

 sinθ\sin\theta  

b)

 cosθ\cos\theta  

c)

 sin(θ90°)\sin\left(\theta-90\degree\right)  

d)

 cos(90°θ)\cos\left(90\degree-\theta\right)  

3.

 tan(90°θ)\tan\left(90\degree-\theta\right)  

a)

 cosec(90°θ)\operatorname{cosec}\left(90\degree-\theta\right)  

b)

 cosecθ\operatorname{cosec}\theta  

c)

 tan(θ90°)\tan\left(\theta-90\degree\right)  

d)

 1tanθ\frac{1}{\tan\theta}  

4.

Select Angles in the third quadrant

a)

50

b)

30

c)

265

d)

195

e)

70

5.

The basic angle of  220°220\degree  

a)

 40°40\degree  

b)

 55°55\degree  

c)

 20°20\degree  

d)

 160°160\degree  

6.

The basic angle of  320°320\degree  

a)

 40°40\degree  

b)

 55°55\degree  

c)

 20°20\degree  

d)

 160°160\degree  

7.

The positive ratios in the four quadrants, in the order of Quadrant 1, Quadrant 2, Quadrant 3, and Quadrant 4, respectively are...

a)

Sin, Cos, Tan, All

b)

Cos, All, Sin, Tan

c)

Tan, Cos, All, Sin

d)

All, Sin, Tan, Cos

8.

 cos(θ)=\cos\left(-\theta\right)=  

a)

 sinθ\sin\theta  

b)

 cosθ\cos\theta  

c)

 cosθ-\cos\theta  

d)

 sinθ-\sin\theta  

9.

 sin(θ)=\sin\left(-\theta\right)=  

a)

 sinθ\sin\theta  

b)

 cosθ\cos\theta  

c)

 cosθ-\cos\theta  

d)

 sinθ-\sin\theta  

10.

The graph is

a)

sinθ\sin\theta

b)

cosθ\cos\theta

c)

tanθ\tan\theta

d)

cosecθ\operatorname{cosec}\theta

11.

The graph shows a trigonometric function with Amplitude of ____ and Period of _____

a)

1; π1;\ \pi

b)

1; π21;\ \frac{\pi}{2}

c)

2; π2;\ \pi

d)

2; π22;\ \frac{\pi}{2}

12.

The graph shows a trigonometric function with Amplitude of ____ and Period of _____

a)

1; π1;\ \pi

b)

1; π21;\ \frac{\pi}{2}

c)

0.5; π0.5;\ \pi

d)

0.5; π20.5;\ \frac{\pi}{2}

13.

 1cos2x1+sinx1-\frac{\cos^2x}{1+\sin x}  

Simplify the trigonometry statement, as simple as possible

a)

 sinθ\sin\theta  

b)

 cosθ\cos\theta  

c)

 tanθ\tan\theta  

d)

 secθ\sec\theta  

14.

The graph shows of  y =cos(3x)y\ =\cos\left(3x\right)  and  y=0.5y=0.5 . From the given image, deduce the solutions of the equation cos(3x)=1\cos\left(3x\right)=-1 for  0 xπ0\ \le x\le\pi  

a)

 π\pi  

b)

 π2\frac{\pi}{2}  

c)

 π3\frac{\pi}{3}  

d)

 π6\frac{\pi}{6}  

15.

 1+tan2=1+\tan^2=  

a)

 cosec2θ\operatorname{cosec}^2\theta  

b)

 sec2θ\sec^2\theta  

c)

 cos2θ\cos^2\theta  

d)

 cotan2θ\operatorname{cotan}^2\theta