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Worksheets

Trig Identities

Total questions: 10

Worksheet time: 2hrs 1mins

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.

1+tan2x=1+\tan^2x=  

a)

csc2x\csc^2x  

b)

cot2x\cot^2x  

c)

sin2x\sin^2x  

d)

sec2x\sec^2x  

4.

Simplify

cotθtanθ\cot\theta\tan\theta  

a)

sin²θ/cos²θ

b)

1

c)

0

d)

cos²θ/sin²θ

5.

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

a)

-1

b)

sin θ

c)

csc θ

d)

1

6.

Simplify

cotθsinθ\cot\theta\sin\theta  

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

7.
Solve the following for cos2θ:
sin2θ + cos2θ = 1
a)
cos2θ = 1 - sin2θ
b)
cosθ = 1 + sin2θ
c)
cosθ = 1 - sinθ
d)
cos2θ = Adj/hyp
8.

sec2x  1 =\sec^2x\ -\ 1\ =  

a)

cot2x\cot^2x  

b)

csc2x\csc^2x  

c)

cos2x\cos^2x  

d)

tan2x\tan^2x  

9.

Match the following

a)

1cscθ\frac{1}{\csc\theta}

1.

sinθ

b)

1cosθ\frac{1}{\cos\theta}

2.

secθ

c)

sinθcosθ\frac{\sin\theta}{\cos\theta}

3.

tanθ

d)

1sinθ\frac{1}{\sin\theta}

4.

cscθ

e)

cosθsinθ\frac{\cos\theta}{\sin\theta}

5.

cotθ

10.

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