Free Printable problem solving sine cosine tangent

1.

Find the value of tan X.

a)

3/4

b)

4/3

c)

5/3

d)

3/5

2.

Find the value of cos C.

a)

29/20

b)

21/20

c)

20/29

d)

20/21

3.

Find the value of sin A.

a)

3/4

b)

5/4

c)

5/3

d)

4/5

4.

Calculate the value of x without drawing any right-angled triangles or using Pythagoras theorem or a calculator.
sin

\sin\theta=\frac{1}{2},\ \cos\theta=\frac{\sqrt{3}}{2},\ \tan\theta=x

(a)

5.

Calculate the value of x without drawing any right-angled triangles or using Pythagoras theorem or a calculator.
$\sin\theta=x,\ \cos\theta=\frac{5}{8}=,\ \tan\theta=\frac{\sqrt{39}}{5}$

(a)

6.

Calculate the value of x without drawing any right-angled triangles or using Pythagoras theorem or a calculator.
$\sin\theta=\frac{7}{9},\ \cos\theta=x,\ \tan\theta=\frac{7}{4\sqrt{2}}$

(a)

7.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

8.

Which letter represents the HIPPOTENUSE?

a)

A

b)

B

c)

C

9.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

d)

Sine

10.

Which one is the easy way to learn trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

11.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

12.

The solution to a problem is the

a)

Steps you take to define the problem.

b)

Steps you take to solve the problem.

c)

Steps you take to make the problem worst.

13.

sin60

a)

0

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

e)

$1$

14.

cos45

a)

0

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

e)

$1$

15.

cos30

a)

0

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

e)

$1$

16.

cos0

a)

0

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

e)

$1$

17.

cos90

a)

0

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{2}}{2}$

d)

$\frac{\sqrt{3}}{2}$

e)

$1$

18.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

19.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

20.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

problem solving sine cosine tangent

Total questions: 20

Worksheet time: 20mins

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