Free Printable Simplifying Trig Identities

1.

Simplify: $\secθ\sinθ$

a)

cos θ

b)

csc θ

c)

tan θ

d)

cot θ

2.

Simplify: $\cos\theta\tan\theta$

a)

sin θ

b)

cos θ

c)

tan θ

d)

csc θ

3.

Simplify: $(\secθ-1)(\secθ+1)$

a)

sin ² θ

b)

cos ² θ

c)

tan ² θ

d)

sec ² θ

4.

Simplify: $\left(\cos\ θ\right)\left(\sec\ θ-\cosθ\right)$

a)

$\sin^2θ$

b)

$\cos^2θ$

c)

$\csc^2\theta$

d)

$\sec^2\theta$

5.

Simplify: $\tan x\ \cot x$

a)

$\sin\ x$

b)

$\cos\ x$

c)

$-1$

d)

$1$

6.

Simplify: $\frac{\sec^2x}{\sec^2x-1}$

a)

$\sin^2x$

b)

$\csc^2x$

c)

$\cos^2x$

d)

$\sec^2x$

7.

Simplify: $\sec x-\tan x\sin x$

a)

$\sin x$

b)

$\cos x$

c)

$\csc x$

d)

$\sec x$

8.

Simplify: $\frac{1-\sin^2x}{\sec x}$

a)

$\sin^2x$

b)

$\cos^2x$

c)

$\sin^3x$

d)

$\cos^3x$

9.

Simplify: $\frac{\cos^2\left(-x\right)\csc x}{\cot x}$

a)

$-\sin x$

b)

$-\cos x$

c)

$\sin x$

d)

$\cos x$

10.

Simplify: $\frac{\sin^2x+\cos^2x+\cot^2x}{1+\tan^2x}$

a)

$\cot^2x$

b)

$\tan^2x$

c)

$\csc^2x$

d)

$\sec^2x$

Simplifying Trig Identities

Total questions: 10

Worksheet time: 30mins

Similar Resources on Wayground