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Worksheets

trigonometric functions

Total questions: 17

Worksheet time: 14mins

Name
Class
Date
1.

What is the sign of the function

 sin⁡100\sin100  

a)

negative

b)

0

c)

positive

d)

undefined

2.

What is the sign of the function

 tan⁡253\tan253  

a)

negative

b)

0

c)

positive

d)

undefined

3.

What is the sign of the function

 cos⁡220\cos220  

a)

negative

b)

0

c)

positive

d)

undefined

4.

What is the sign of the function

 cot⁡190\cot190  

a)

negative

b)

0

c)

positive

d)

undefined

5.

What is the sign of the function

 tan⁡310\tan310  

a)

negative

b)

0

c)

positive

d)

undefined

6.

What is the sign of the function

 sec⁡280\sec280  

a)

negative

b)

0

c)

positive

d)

undefined

7.

What is the sign of the function

 cot⁡80\cot80  

a)

negative

b)

0

c)

positive

d)

undefined

8.

What is the sign of the function

 sin⁡160\sin160  

a)

negative

b)

0

c)

positive

d)

undefined

9.

What is the sign of the function

 cosec⁡250\operatorname{cosec}250  

a)

negative

b)

0

c)

positive

d)

undefined

10.

What is the sign of the function

 cos⁡300\cos300  

a)

negative

b)

0

c)

positive

d)

undefined

11.

Which of the following is true?


(there are more than one answer)

a)

sin⁡x=1cosec⁡x\sin x=\frac{1}{\operatorname{cosec}x}

b)

cot⁡x.tan⁡x=1\cot x.\tan x=1

c)

sec⁡x.cot⁡x=cos⁡x\sec x.\cot x=\cos x

d)

sin⁡2x−cos⁡2x=−1\sin^2x-\cos^2x=-1

e)

cosec⁡2x+sec⁡2x=sec⁡2x.cosec⁡2x\operatorname{cosec}^2x+\sec^2x=\sec^2x.\operatorname{cosec}^2x

12.

 sin⁡(π−x)=?\sin\left(\pi-x\right)=?  

a)

 −sin⁡x-\sin x  

b)

 cos⁡x\cos x  

c)

 sin⁡x\sin x  

d)

 −cos⁡x-\cos x  

13.

 sin⁡(π2+x)=?\sin\left(\frac{\pi}{2}+x\right)=?  

a)

 −sin⁡x-\sin x  

b)

 cos⁡x\cos x  

c)

 sin⁡x\sin x  

d)

 −cos⁡x-\cos x  

14.

 cos⁡(3π2+x)=?\cos\left(\frac{3\pi}{2}+x\right)=?  

a)

 −sin⁡x-\sin x  

b)

 cos⁡x\cos x  

c)

 sin⁡x\sin x  

d)

 −cos⁡x-\cos x  

15.

 tan⁡(3π2−x)=?\tan\left(\frac{3\pi}{2}-x\right)=?  

a)

 −tan⁡x-\tan x  

b)

 cot⁡x\cot x  

c)

 tan⁡x\tan x  

d)

 −cot⁡x-\cot x  

16.

 tan⁡(3π2+x)=?\tan\left(\frac{3\pi}{2}+x\right)=?  

a)

 −tan⁡x-\tan x  

b)

 cot⁡x\cot x  

c)

 tan⁡x\tan x  

d)

 −cot⁡x-\cot x  

17.

 tan⁡(3π2−x).cot⁡(π2+x)+sin⁡2(π2−x)1−cos⁡(π+x)\frac{\tan\left(\frac{3\pi}{2}-x\right).\cot\left(\frac{\pi}{2}+x\right)+\sin^2\left(\frac{\pi}{2}-x\right)}{1-\cos\left(\pi+x\right)}  

a)

 −1−cos⁡x-1-\cos x  

b)

 1−cos⁡x1-\cos x  

c)

 1−sin⁡x1-\sin x  

d)

 cos⁡x−1\cos x-1  

e)

 1+sin⁡x1+\sin x