Free Printable Basic Trigonometric Identities

1.

Simplify: sin x cot x

a)

a) cos x

b)

b) sin x

c)

c) tan x

d)

d) sec x

2.

tan θ =

a)

$\frac{1}{\tan\ \theta}$

b)

$\frac{1}{\csc\ \theta}$

c)

$\frac{1}{\sin\theta}$

d)

$\frac{1}{\cot\theta}$

3.

$\frac{1-\sin^2x}{\cos x}$

a)

$\sin x$

b)

$\tan^2x$

c)

$\cot^2x$

d)

$\cos\ x$

4.

Simplify: $\csc x\ \sin x$

a)

tan x

b)

sec x

c)

1

d)

cos x

5.

$\sec\theta\cot\theta\sin\theta$

a)

$-1$

b)

$\sin x$

c)

$\csc\theta$

d)

$1$

6.

$1+\cot^2x=\ ?$

a)

$\csc^2x$

b)

$\sec^2x$

c)

$\cot^2x$

d)

$\tan^2x$

7.

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

a)

$\tan x$

b)

$\cot x$

c)

$\sin^2x$

d)

$\cos^2x$

8.

Is this a Pythagorean identity?
$\tan^2x+1=\sec x$

a)

Yes

b)

No

9.

The expression $\sin A\left(\csc A-\sin A\right)$ is equvilant to

a)

1

b)

$-\sin^2A$

c)

$\cos^2A$

d)

$\cos A$

10.

$-\left(\sin^2x+\cos^2x\right)$

a)

$-1$

b)

$1$

c)

$-2$

d)

$2$

Basic Trigonometric Identities

Total questions: 10

Worksheet time: 50mins

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