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Worksheets

Reciprocal Trig Identities

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

tanθ = 

a)

1/cosθ

b)

1/sinθ

c)

cosθ/sinθ

d)

sinθ/cosθ

2.

cotθ =

a)

cosθ/sinθ

b)

sinθ/cosθ

c)

tanθ

d)

1/cosθ

3.
cscθ=
a)
1/cosθ
b)
1/sinθ
c)
1/tanθ
d)
1/secθ
4.
secθ=
a)
1/cosθ
b)
1/sinθ
c)
1/tanθ
d)
1/cscθ
5.

Simplify

cotθtanθ\cot\theta\tan\theta  

a)

sin²θ/cos²θ

b)

1

c)

0

d)

cos²θ/sin²θ

6.

Simplify

tanxcscxcosx\tan x\csc x\cos x  

a)

1/cos x

b)

1

c)

cot x

d)

-1

7.

Simplify

cotθsinθ\cot\theta\sin\theta  

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

8.

cosθ cscθ\cos\theta\ \csc\theta  can be written in a single trigonometric identity as: 

a)

cosθ\cos\theta  

b)

sinθ\sin\theta  

c)

secθ\sec\theta  

d)

cotθ\cot\theta  

9.

tanθcosθ\tan\theta\cos\theta  can be written in a single trigonometric identity as: 

a)

cosθ\cos\theta  

b)

sinθ\sin\theta  

c)

secθ\sec\theta  

d)

cotθ\cot\theta  

10.

Simplify
secθcotθsinθ\sec\theta\cot\theta\sin\theta  

a)

-1

b)

sin θ

c)

csc θ

d)

1