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