# Trigonometry

finding missing lengths etc

- Created by: gogos
- Created on: 28-06-10 23:30

## Slides in this set

### Slide 1

Sides and

Angles

Lengths

Questions Questions

Finished…read more

### Slide 2

To work out angles in a (non right angle) triangle you need to use trigonometry which consists

of sine, cosine and tangent. Each of these different calculations apply to different parts of the

triangle. To remember which parts they apply to use:

SOHCAHTOA

That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent

As you can see each of the calculations applies to different sides of the triangle, below is a

diagram to show you where each side is on the triangle and how to find it.

Hypotenuse-always the longest side

X

Opposite-this side is opposite to

Adjacent-this side is touching/ the angle

adjacent to the angle…read more

### Slide 3

Explanation!

To work out the angle of a triangle you need to

Adjacent

apply the correct formula so first of all you need to

know which sides of the triangle you are using!

X

It's the hypotenuse and the adjacent, so using Hypotenuse

SOHCAHTOA you can see we need to use

Cosine.

Now we can insert the lengths of the Hypotenuse 5cm

3cm

and Adjacent sides into the formula:

CosX=3/6 X

6cm

Finally you must work out the formula:

3/6=0.5 X=0.5/Cos

Now click shift and Cos on your calculator to

divide 0.5 by Cosine and you are lest with the

angle X:

X=60 degrees

Questions…read more

### Slide 4

Work out angle X for each triangle!

6cm

4cm

X=70.5

X

X

8cm

X=30 2cm

What units do you give your answer to?

X

Degrees

10cm

17.5cm

X=60.25

Click anywhere for answers! Explanation…read more

### Slide 5

To work out lengths in a (non right angle) triangle you need to use trigonometry which

consists of sine, cosine and tangent. Each of these different calculations apply to different

parts of the triangle. To remember which parts they apply to use:

SOHCAHTOA

That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent

As you can see each of the calculations applies to different sides of the triangle, below is a

diagram to show you where each side is on the triangle and how to find it.

Hypotenuse-always the longest side

X

Opposite-this side is opposite to

Adjacent-this side is touching/ the angle

adjacent to the angle…read more

### Slide 6

Explanation!

To work out the length of a side you need to apply

Adjacent

X

the correct formula so first of all you need to know

which sides of the triangle you are using!

60

It can be either the hypotenuse and the opposite, Hypotenuse

or the adjacent and the opposite, so using

SOHCAHTOA you can see we can use Sine or

Tangent.

Now we can insert the lengths of the Hypotenuse X 3cm

and Adjacent sides into the formula:

60

Sin60=X/6

6cm

Finally you must work out the formula:

Sin60 x 6=X

Now click Sin and 60 on your calculator and then

multiply by 6 which gives you X:

X=5.19cm

Questions…read more

### Slide 7

## Similar Mathematics resources:

# Trigonometry

finding missing lengths etc

- Created by: gogos
- Created on: 28-06-10 23:30

## Slides in this set

### Slide 1

Sides and

Angles

Lengths

Questions Questions

Finished…read more

### Slide 2

To work out angles in a (non right angle) triangle you need to use trigonometry which consists

of sine, cosine and tangent. Each of these different calculations apply to different parts of the

triangle. To remember which parts they apply to use:

SOHCAHTOA

That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent

As you can see each of the calculations applies to different sides of the triangle, below is a

diagram to show you where each side is on the triangle and how to find it.

Hypotenuse-always the longest side

X

Opposite-this side is opposite to

Adjacent-this side is touching/ the angle

adjacent to the angle…read more

### Slide 3

Explanation!

To work out the angle of a triangle you need to

Adjacent

apply the correct formula so first of all you need to

know which sides of the triangle you are using!

X

It's the hypotenuse and the adjacent, so using Hypotenuse

SOHCAHTOA you can see we need to use

Cosine.

Now we can insert the lengths of the Hypotenuse 5cm

3cm

and Adjacent sides into the formula:

CosX=3/6 X

6cm

Finally you must work out the formula:

3/6=0.5 X=0.5/Cos

Now click shift and Cos on your calculator to

divide 0.5 by Cosine and you are lest with the

angle X:

X=60 degrees

Questions…read more

### Slide 4

Work out angle X for each triangle!

6cm

4cm

X=70.5

X

X

8cm

X=30 2cm

What units do you give your answer to?

X

Degrees

10cm

17.5cm

X=60.25

Click anywhere for answers! Explanation…read more

### Slide 5

To work out lengths in a (non right angle) triangle you need to use trigonometry which

consists of sine, cosine and tangent. Each of these different calculations apply to different

parts of the triangle. To remember which parts they apply to use:

SOHCAHTOA

That is: SineX=Opposite/Hypotenuse CosineX=Adjacent/Hypotenuse and TangentX=Opposite/Adjacent

As you can see each of the calculations applies to different sides of the triangle, below is a

diagram to show you where each side is on the triangle and how to find it.

Hypotenuse-always the longest side

X

Opposite-this side is opposite to

Adjacent-this side is touching/ the angle

adjacent to the angle…read more

### Slide 6

Explanation!

To work out the length of a side you need to apply

Adjacent

X

the correct formula so first of all you need to know

which sides of the triangle you are using!

60

It can be either the hypotenuse and the opposite, Hypotenuse

or the adjacent and the opposite, so using

SOHCAHTOA you can see we can use Sine or

Tangent.

Now we can insert the lengths of the Hypotenuse X 3cm

and Adjacent sides into the formula:

60

Sin60=X/6

6cm

Finally you must work out the formula:

Sin60 x 6=X

Now click Sin and 60 on your calculator and then

multiply by 6 which gives you X:

X=5.19cm

Questions…read more

### Slide 7

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