Free Printable Identities of Trigonometric Functions

1.

$Simplify...\$ $\cos\ \left(\theta\right)\ +\ \sin\left(\theta\right)\tan\left(\theta\right)$

a)

$\sec\left(\theta\right)$

b)

$\cot\left(\theta\right)$

c)

$\tan\left(\theta\right)$

d)

$\cos\left(\theta\right)$

2.

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

a)

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

b)

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

c)

$\frac{\sin^2\left(x\right)}{\cos\left(x\right)}$

d)

$\frac{\cos^2\left(x\right)}{\sin\left(x\right)}$

3.

$\frac{1}{\sin\left(x\right)}=?$

a)

$\sec\left(x\right)$

b)

$\cos\left(x\right)$

c)

$\csc\left(x\right)$

d)

$\cos^{-1}\left(x\right)$

4.

Reciprocal identity: tan(x) =

a)

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

b)

$\frac{1}{\cot\left(x\right)}$

c)

$\frac{1}{\sec\left(x\right)}$

d)

$\frac{1}{\csc\left(x\right)}$

5.

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

a)

$\tan^2\left(x\right)$

b)

$\sec^2\left(x\right)$

c)

0

d)

1

6.

$Simplify...$

$\frac{\tan\left(x\right)}{\sec\left(x\right)}$

a)

sin(x)

b)

cos(x)

c)

1

d)

cot(x)

7.

Simplify... $\sin\left(x\right)\left(\csc\left(x\right)-\sin\left(x\right)\right)=?$

a)

$\sin^2\left(x\right)$

b)

$\cos^2\left(x\right)$

c)

$\tan\left(x\right)$

d)

1

8.

Simplify (Hint: you will need to FOIL first)
$\left(\sec\left(x\right)-1\right)\left(\sec\left(x\right)+1\right)=?$

a)

$\tan^2\left(x\right)$

b)

$\cot^2\left(x\right)$

c)

$\sec^2\left(x\right)$

d)

$\csc^2\left(x\right)$

Identities of Trigonometric Functions

Total questions: 8

Worksheet time: 4mins

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