Free Printable Trigonometry - finding unknown angles (calculator)

1.

We can use sin, cos and tan for:

a)

Any triangle

b)

Non-right triangles only

c)

Right triangles only

d)

Rectangles

2.

The ratio with adjacent and hypotenuse is _____

a)

sin

b)

cos

c)

tan

3.

Use your calculator to find $\tan\ 89\degree$ to two decimal places.

a)

.54

b)

1

c)

41.63

d)

57.29

4.

Use your calculator to find $\cos\ 89\degree$ to four decimal places.

a)

0.5401

b)

0.0154

c)

0.0175

d)

0.0571

5.

Use your calculator to find $\sin\ 89\degree$ to four decimal places.

a)

0.1112

b)

0.5554

c)

0.8889

d)

0.9998

6.

Use your calculator to find $\tan^{-1}\ \left(\frac{8}{9}\right)$ to two decimal places.

a)

0.54

b)

1

c)

41.63

d)

57.29

7.

Use your calculator to find $\cos^{-1}\ \left(\frac{4}{5}\right)$ to two decimal places.

a)

21.38

b)

36.87

c)

41.63

d)

57.29

8.

Use your calculator to find $\sin^{-1}\left(0.71\right)$ to two decimal places.

a)

8.67

b)

19.29

c)

34.19

d)

45.23

9.

What is the opposite side to angle D?

a)

4

b)

3

c)

5

10.

Which is the hypotenuse?

a)

4

b)

3

c)

5

11.

What is the opposite side to angle E?

a)

4

b)

3

c)

5

12.

What is the adjacent side to angle D?

a)

4

b)

3

c)

5

13.

What is the adjacent side to angle E?

a)

4

b)

3

c)

5

14.

What is $\sin\ D$ ?

a)

$\sin\ D\ =\frac{4}{5}$

b)

$\sin\ D\ =\frac{3}{5}$

c)

$\sin\ D\ =\frac{5}{4}$

d)

$\sin\ D\ =\frac{5}{3}$

15.

If $\sin\ D\ =\frac{4}{5}$ , how can we find angle $D$ ?

a)

$D\ =\sin^{-1}\left(\frac{5}{4}\right)$

b)

$D\ =\sin^{-1}\left(\frac{4}{5}\right)$

c)

$\ D\ =\sin\left(\frac{5}{4}\right)$

d)

$\ D\ =\cos\left(\frac{5}{4}\right)$

16.

What is $\tan\ E$ ?

a)

$\tan\ E=\frac{5}{4}$

b)

$\tan\ E=\frac{3}{4}$

c)

$\tan\ E=\frac{3}{5}$

d)

$\tan\ E=\frac{4}{5}$

17.

If $\tan\ E=\frac{3}{4}$ , how can we find angle $E$ ?

a)

$E=\tan^{-1}\left(\frac{3}{5}\right)\$

b)

$E=\tan^{-1}\left(\frac{4}{3}\right)\$

c)

$E=\tan\left(\frac{3}{4}\right)\$

d)

$E=\tan^{-1}\left(\frac{3}{4}\right)\$

18.

What is $\cos\ B$ ?

a)

$\cos\ B\ =\frac{2}{3}$

b)

$\cos\ B\ =\frac{3.61}{3}$

c)

$\cos\ B\ =\frac{3}{3.61}$

d)

$\cos\ B\ =\frac{2}{3.61}$

19.

If $\cos\ B\ =\frac{3}{3.61}$ , how can we find angle $B$ ?

a)

$B\ =\cos^{-1}\left(\frac{2}{3}\right)\$

b)

$B\ =\cos^{ }\left(\frac{3.61}{3}\right)$

c)

$B\ =\cos^{-1}\left(\frac{3}{3.61}\right)$

d)

$B\ =\tan^{-1}\left(\frac{3.61}{3}\right)$

20.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

21.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

22.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

23.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

24.

Which side of the triangle is the adjacent side?

a)

a

b)

b

c)

c

25.

Which side of the triangle is the adjacent side?

a)

a

b)

b

c)

c

26.

What does $\tan^{-1}$ mean?

a)

tan subtract one

b)

tan to the power of negative one

c)

inverse tan

d)

fake tan

27.

What are inverse ratios ( $\sin^{-1}$ , $\cos^{-1}$ , and $\tan^{-1}$ ) used for?

a)

finding if the triangle is right angled

b)

finding an unknown side length

c)

finding an unknown angle

28.

How do we get $\sin^{-1}$ (inverse sin) on the calculator?

a)

control, sin

b)

shift, sin

c)

sin, subtract, 1

Trigonometry - finding unknown angles (calculator)

Total questions: 28

Worksheet time: 2hrs 20mins

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