Free Printable Unit 11A Trig Identities

1.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

2.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

3.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

4.

Simplify

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

5.

Simplify

a)

-1

b)

sin θ

c)

csc θ

d)

1

6.

Simplify (Hint: you will need to FOIL first)

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

7.

tanθ=

a)

1/tanθ

b)

1/sinθ=

c)

1/cscθ=

d)

1/cotθ=

8.

Which of these is equivalent to 2cos²x − 3cosx = 0 ?

a)

-cos²x = 0

b)

cosx(2cosx + 3) = 0

c)

cosx(2cosx − 3) = 0

d)

cos x = ⅔

9.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

10.

cotθ=

a)

1/cosθ

b)

1/cscθ

c)

1/secθ

d)

1/tanθ

11.

*

a)

csc² x

b)

sec² x

c)

cot² x

d)

tan² x

12.

Simplify.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

13.

Simplify.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

14.

Simplify

a)

-1

b)

sin θ

c)

csc θ

d)

1

15.

Simplify

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

16.

a)

cos²x

b)

sin²x

c)

cot²x

d)

tan²x

17.

When verifying you must first ...

a)

pick a side to simplify

b)

find a trig. identity

c)

Change to sine and cosine

d)

Change Values

18.

What could be the next step when verifying the following:
$\tan^2x\left(1+\cot^2x\right)$

a)

$\tan^2x+\cot^2x$

b)

$\tan^2x+\tan^2x\cot^2x$

c)

$\tan^2x+1$

d)

$\csc^2x$

19.

What could be the next step when verifying the following:
$\frac{\left(\tan x-\cot x\right)}{\sin x\cos}$

a)

$\frac{\tan x}{\sin x}-\frac{\cot x}{\cos x}$

b)

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

c)

$\frac{\tan x}{\sin x\cos x}-\frac{\cot x}{\sin x\cos x}$

d)

$\frac{1}{\sin x\cos x}$

20.

Simplify.

a)

sinθ

b)

cos²θ

c)

sin²θ

d)

1- sin²θ

Unit 11A Trig Identities

Total questions: 20

Worksheet time: 2hrs 40mins

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