Free Printable Simplifying Trigonometric 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: $\frac{\sec^2x}{\sec^2x-1}$

a)

$\sin^2x$

b)

$\csc^2x$

c)

$\cos^2x$

d)

$\sec^2x$

6.

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

a)

$\cot^2x$

b)

$\tan^2x$

c)

$\csc^2x$

d)

$\sec^2x$

7.

a)

-1

b)

sin θ

c)

csc θ

d)

1

8.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

9.

Simplify the trig expression.

a)

tan²x

b)

-tan²x

c)

cot²x

d)

cos²x*sin²x

10.

Simplify the trig expression.

a)

secx

b)

cotx

c)

sec²x

d)

tan²x

11.

Simplify the trig expression.

a)

1

b)

-1

c)

cotx

d)

cosx

12.

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)

Simplifying Trigonometric Identities

Total questions: 12

Worksheet time: 3600secs

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