Free Printable Basic Trig Identities

1.

Please select the correct solution
$\cos^2x\ +\ \sin\ ^2x\ =\$

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

2.

Solve the following for $\tan^2\theta$
$1\ +\ \tan^2\theta=\ \sec^2\theta$

a)

tan²θ = sec²θ + 1

b)

tan²θ = sec²θ - 1

c)

tanθ = secθ - 1

d)

tan²θ = opp/adj

3.

Rewrite tan(x) in terms of sin(x) and cos(x).

a)

tan(x) = cos(x)/sin(x)

b)

tan(x) = 1/cot(x)

c)

tan(x) = sin(x)/cos(x)

d)

tan(x) = opp/adj

4.

Simplify:

$\tan\ x\ \cot x\ -\cos^2x$

a)

tanx

b)

cotx

c)

sin²x

d)

cos²x

5.

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

a)

tanx

b)

secx

c)

cotx

d)

cscx

6.

Is this a pythagorean identity?

tan²x + 1 = secx

a)

Yes

b)

No

7.

Simplify.

\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)

a)

tan²x

b)

sinx

c)

cot²x

d)

cosx

8.

Simplify
$\cos\ x\left(\tan\ x\ +\ \cot\ x\right)$

a)

sinx

b)

cscx

c)

Tanx+1

d)

None of the above

9.

cot θ=

a)

cosθ/sinθ

b)

sinθ/cosθ

c)

tanθ

d)

1/cosθ

10.

Simplify
$\sin x\ \left(\csc x\ +\cot x\right)$

a)

cos x + 1

b)

csc x +1

c)

cos x - 2

d)

secx

11.

Simplify
$\left(\sec x\right)\left(\cot x\right)\left(\sin x\right)$

a)

sin x

b)

- sin x

c)

1

d)

-1

12.

Solve the following for cot²θ:

1 + cot²θ = csc²θ

a)

1 = cot²θ + csc²θ

b)

cot²θ =1 - csc²θ

c)

cot²θ = csc²θ -1

d)

cot²θ = adj/opp

13.

$\frac{\csc x}{\cot x}$

a)

$\tan x\$

b)

$\sin\ x$

c)

$\cos\ x$

d)

$\sec\ x$

14.

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

a)

$\cos x$

b)

$\csc x$

c)

$\cot x$

d)

$\sin x\$

15.

$\left(\csc x\right)\left(\tan x\right)$

a)

$\sin x$

b)

$\cot x$

c)

$\cos x$

d)

$\sec x$

16.

$\left(\cos x\right)\left(\sin x\right)\left(\csc x\right)\left(\sec x\right)$

a)

$\tan x$

b)

$\cot x$

c)

$1$

d)

$-1$

17.

$\csc\left(\lambda\right)$

a)

$\sec\left(90\degree-\lambda\right)$

b)

$\sin\left(90\degree-\lambda\right)$

c)

$\cot\left(90\degree-\lambda\right)$

d)

$1$

18.

$\tan\left(\beta\right)$

a)

$\sec\left(\frac{\pi}{2}-\beta\right)$

b)

$\sin\left(\frac{\pi}{2}-\beta\right)$

c)

$\cot\left(\frac{\pi}{2}-\beta\right)$

d)

$1$

19.

What is Ms Cornwell's name going to be?

a)

Cornwell

b)

Campbell

c)

Wright

d)

Johnson

20.

When is the test for Unit 4?

a)

Dec 12

b)

Apr 31

c)

Feb 30

d)

Sep 31

Basic Trig Identities

Total questions: 20

Worksheet time: 2hrs 40mins

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