Free Printable Simplifying Trig. Expressions

Free Printable Worksheets

Worksheets

Simplifying Trig. Expressions

Total questions: 40

Worksheet time: 5hrs 30mins

Name

Class

Date

1.

Simplify the trig expression.

a)

tan²x

b)

-tan²x

c)

cot²x

d)

cos²x*sin²x

2.

Simplify the trig expression.

a)

sinx

b)

cosx

c)

cotx

d)

tanx

3.

Simplify the trig expression.

a)

1

b)

-tanx

c)

-1

d)

tanx

4.

Simplify the trig expression.

a)

tan²x

b)

2

c)

cot²x

d)

1

5.

Simplify the trig expression.

a)

secx

b)

cotx

c)

sec²x

d)

tan²x

6.

Simplify the trig expression.

a)

sinx

b)

cosx

c)

-sinx

d)

cotx

7.

Simplify the trig expression.

a)

tanx

b)

-cosx

c)

sinx

d)

cosx

8.

Simplify the trig expression.

a)

1

b)

-1

c)

cotx

d)

cosx

9.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

10.

a)

-1

b)

sin θ

c)

csc θ

d)

1

11.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

12.

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

13.

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

14.

a)

1/cos x

b)

1

c)

cot x

d)

-1

15.

a)

sinθ

b)

cos²θ

c)

sin²θ

d)

1- sin²θ

16.

a)

cos²x

b)

sin²x

c)

cot²x

d)

tan²x

17.

a)

csc x

b)

sec x

c)

1/sec x

d)

cos x

18.

a)

csc x

b)

1/sec x

c)

1 + sec x

d)

sec x

19.

a)

sin x

b)

cos x

c)

tan x

d)

1

20.

$\sin^2x+\cos^2x=$

a)

$1$

b)

$-1$

c)

$\tan^2x$

d)

$\cot^2x$

21.

Simplify $\sin x\sec x$

a)

$\csc x$

b)

$\tan x$

c)

$\cot x$

d)

$\cos x$

22.

Simplify $\cos^2x\left(\sec^2x-1\right)$

a)

$\sin^2x$

b)

$\cos^2x$

c)

$\tan^2x$

d)

$\csc^2x$

23.

What is csc(x) equivalent to?

a)

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

b)

$\frac{1}{\tan x}$

c)

sin(x)

d)

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

24.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

25.

Simplify

a)

-1

b)

sin θ

c)

csc θ

d)

1

26.

Is this a pythagorean identity?
tan²x + 1 = secx

a)

Yes

b)

No

27.

cos(-u)

a)

cos(u)

b)

-cos(u)

c)

sin(u)

d)

-sec(u)

e)

sec(u)

28.

a)

csc(u)

b)

cos(u)

c)

tan(u)

d)

sin(u)

e)

cot(u)

29.

a)

sec(u)

b)

cos(u)

c)

csc(u)

d)

sin(u)

e)

cot(u)

30.

tan(-u)

a)

tan(u)

b)

-cot(u)

c)

sin(u)

d)

-tan(u)

e)

cot(u)

31.

Select all that are Pythagorean Identities.

a)

sin²(u) + cos²(u) = 1

b)

sin²(u) - cos²(u) = 1

c)

tan²(u) + 1 = sec²(u)

d)

cot²(u) + csc²(u) = 1

e)

cot²(u) + 1 = csc²(u)

32.

Expand and simplify $\cos\ \left(90^o-x\right)$

a)

$\cos\ x$

b)

$\sin\ x$

c)

$\tan\ x$

d)

$-\cos x$

33.

Solve the following for tan²θ:
1 + tan²θ = sec²θ

a)

tan²θ = sec²θ + 1

b)

tan²θ = sec²θ - 1

c)

tanθ = secθ - 1

d)

tan²θ = opp/adj

34.

What is the reciprocal function of sin θ ?

a)

sec θ

b)

cos θ

c)

tan θ

d)

csc θ

35.

What is the reciprocal function of csc θ ?

a)

sec θ

b)

cos θ

c)

tan θ

d)

sin θ

36.

$\frac{\sin\theta}{\cos\theta}$ =?

a)

csc θ

b)

sec θ

c)

cot θ

d)

tan θ

37.

1 - cos²θ = ?

a)

sin²θ

b)

tan²θ

c)

csc²θ

d)

1

38.

cot(x)sin(x)

a)

cos(x)

b)

tan(x)

c)

sec(x)

d)

cos(x)tan(x)

39.

$\frac{\tan x}{\sec x}$

a)

cos(x)

b)

does not simplify

c)

sin(x)

d)

tan(x)

40.

Simplify. $\frac{\cos^2x}{\sin^2x}$

a)

tan²x

b)

cot²x

c)

sec²x

d)

csc²x

100 %

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