MM trig

Trigonometry:

Sine, Cosine, Tangent

Hypotenuse Opposite

x∘ Adjacent

opposite sin x = hypotenuse adjacent cos x = hypotenuse opposite tan x = adjacent

hypotenuse * sin x = opposite hypotenuse * cos x = adjacent adjacent * tan x = opposite

opposite x° = sin hypotenuse −1

adjacent x° = cos hypotenuse −1

opposite x° = tan adjacent −1

Example 1 Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Find x 23

x 67 opposite sin x = hypotenuse

hypotenuse * sin x = opposite

23*sin 67 = x

21= x

Make sure your calculator is set to degrees: 1. Press Doc 2. Press 7 se8ng & Status 3. Press 2 Document Se8ngs 4. Choose Angle: select Degree

Example 1 Find x

34 x∘ 56

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x

Find x

34 x∘ 56

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x

Find x

34 x∘ 56

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x

Find x

34 x∘ 56

opposite x° = tan adjacent −1

34 x° = tan 56 −1

31° = x

Find x 33

x 37

Find x

x 21 43

Find x

43

39 x

Find x

43

19 x

Find x 41

x 27

Find x

14 x∘ 35

Find x 29

11 x∘

Find x 29

x∘ 41

Find x 29

11 x∘

Find x

11 x∘ 21

Find x

31 x∘ 53