Free Printable Verifying Identities

1.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

2.

a)

-1

b)

sin θ

c)

csc θ

d)

1

3.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

4.

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

5.

a)

csc s

b)

tan s + 1

c)

cot s

d)

cot s + 1

6.

a)

sinθ

b)

cos²θ

c)

sin²θ

d)

1- sin²θ

7.

a)

sin x

b)

cos x

c)

tan x

d)

1

8.

Sove this basic trigonometry function
tan(x)csc(x)

a)

tanx

b)

secx

c)

cotx

d)

cscx

9.

If sinθ = 3 / 5 and θ is in Q II, find tan θ.

a)

3 / 4

b)

-3 / 4

c)

4 / 3

d)

- 4 / 3

10.

Given $\tan x=\frac{9}{12}$ and the angle is in quadrant I. What is the value of secx?

a)

$\sec x=\frac{5}{3}$

b)

$\sec x=\frac{4}{5}$

c)

$\sec x=\frac{5}{4}$

d)

$\sec=\frac{4}{3}$

11.

Simplify the expression $\cot^2x+\sec^2x$

a)

$\cos^2x+\tan^2x$

b)

$\csc^2x+\sec^2x$

c)

$\sin^2x+\tan^2x$

d)

$\csc^2x+\tan^2x$

12.

a)

csc x

b)

sec x

c)

1/sec x

d)

cos x

13.

a)

csc²θ

b)

csc θ sec θ

c)

cot θ tan θ

d)

1/sinθ

14.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

15.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

16.

Simplify: tanxcotx-cos²x

a)

tanx

b)

cotx

c)

sin²x

d)

cos²x

17.

a)

cos²x

b)

sin²x

c)

cot²x

d)

tan²x

18.

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

19.

sin²x + cos²x + 1

a)

0

b)

1

c)

2

d)

3

20.

Which is a factor of the expression.
$3\cos\theta-2\cos^2\theta-2=-1$

a)

$2\cos\theta-1$

b)

$\cos\theta-1$

c)

$2\cos\theta+1$

d)

$\cos\theta+1$

21.

Which is a factor of the expression.
$\cos^2\theta=2\sin\theta+2$

a)

$\sin\theta+3$

b)

$\sin\theta-3$

c)

$\sin\theta+1$

d)

$\cos\theta-1$

22.

Simplify the expression $\csc^2x\left(1-\sec^2x\right)$

a)

$-\csc^2x$

b)

$\cos x$

c)

$-\sec^2x$

d)

$\tan x$

23.

Simplify the expression $\frac{\cot x}{\sec^2x+\csc^2x}$

a)

$\frac{\sin x\cos^2x}{\sec x}$

b)

$\cos x\sin x$

c)

$\frac{1}{\cot x+\sec x}$

d)

$\sin x+\cos^3x$

24.

Simplify this to a basic trigonometry function:
tan(x)csc(x)

a)

tanx

b)

secx

c)

cotx

d)

cscx

25.

Simplify this to a basic trigonometry function:
tan(x)csc(x)

a)

tanx

b)

secx

c)

cotx

d)

cscx

Verifying Identities

Total questions: 25

Worksheet time: 2hrs 33mins

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