Use a special right triangle to express each trigonometric ratio as a fraction and as a decimal to the nearest hundredth

1) tan 60°

2) cos 30°

3)sin 45°

Using special right triangles, the trigonometry ratios will be expressed as:

1. tan 60° = √3/1 = 1.73.

2. cos 30° = √3/2 = 0.87

3. sin 45° = 1/√2 = 0.71

Using the special right triangles shown in the diagram attached below, let's find the fraction and decimal of each of the given trigonometry ratios:

1. tan 60° = opp/adj = √3/1 = √3 = 1.73.

2. cos 30° = adj/hyp = √3/2 = 0.87

3. sin 45° = opp/hyp = 1/√2 = 0.71

In summary, using special right triangles, the trigonometry ratios will be expressed as:

1. tan 60° = √3/1 = 1.73.

2. cos 30° = √3/2 = 0.87

3. sin 45° = 1/√2 = 0.71

Learn more about trigonometry ratios on:

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