Free Printable TRIGO

1.

Use basic identities to simplify the expression

$\csc\theta\cdot\tan\theta\cdot\sec\theta$

a)

$\csc^2\theta$

b)

$\tan\theta$

c)

$2\sec\theta$

d)

$\sec^2\theta$

2.

Use basic identities to simplify the expression

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

(a)

3.

Simplify the expression

$\left(3\cos^2x+\csc^2x\right)-\left(\cot^2x-3\sin^2x\right)$

a)

$4$

b)

$3$

c)

$2$

d)

$1$

4.

Simplify the expression

$\left(\csc^2x-\tan^2x\right)\ -\ \left(\cot^2x\ -\ \sec^2x\right)$

(a)

5.

Simplify the expression

$\frac{1}{\csc x-\cot x}+\frac{1}{\csc x+\cot x}$

a)

$2$

b)

$\csc^2x$

c)

$2\csc x$

d)

$2\cot x$

6.

Simplify the expression

$\frac{3}{\sec x-\tan x}+\frac{3}{\sec x+\tan x}$

a)

$0$

b)

$6\tan x$

c)

$6\sec x$

d)

$3$

7.

Use the identities to simplify the expression
$1-\frac{1}{\sin^2\left(\theta\right)}$

a)

$-\cot^2\left(\theta\right)$

b)

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

c)

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

d)

$-\tan^2\left(\theta\right)$

8.

Which of the following completes an identity for the given expression?
$\frac{\cos\left(x\right)}{\sec\left(x\right)}+\frac{\sin\left(x\right)}{\csc\left(x\right)}$

a)

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

b)

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

c)

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

d)

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

9.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

10.

Simplify

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

11.

Simplify

a)

-1

b)

sin θ

c)

csc θ

d)

1

12.

sin²Θ + cos²Θ =

a)

1

b)

0

c)

-1

d)

tan²Θ

13.

$2\sin\left(10\right)\cos\left(10\right)=$

a)

$\sin\left(5\right)\cos\left(5\right)$

b)

$\sin\left(20\right)\cos\left(20\right)$

c)

$\cos\left(20\right)$

d)

$\sin\left(20\right)$

14.

$\cos^2\left(10\right)-\sin^2\left(10\right)=$

a)

$\cos\left(20\right)$

b)

$\sin\left(20\right)$

c)

1

d)

$\cos\left(100\right)-\sin\left(100\right)$

15.

$\sin\left(40\right)\cos\left(40\right)=$

a)

$\frac{1}{2}\sin\left(80\right)$

b)

$\frac{1}{2}\cos\left(80\right)$

c)

$\sin\left(80\right)$

d)

$\cos\left(80\right)$

16.

Write as a single trig function of a single angle.
$2\sin\frac{\pi}{5}\cos\frac{\pi}{5}$

a)

$\sin\frac{\pi}{10}$

b)

$\sin\frac{2\pi}{5}$

c)

$\cos\frac{2\pi}{5}$

d)

$\cos\frac{\pi}{10}$

17.

Write as a single trig function of a single angle:
$\cos^232\degree-\sin^232\degree$

a)

$\cos64\degree$

b)

$\cos16\degree$

c)

$\sin64\degree$

d)

$\sin16\degree$

TRIGO

Total questions: 17

Worksheet time: 18mins

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