Special Right Triangles and Trig Ratios

What is the value of sin(30°)?

• 1/2

• 1/3

• √2/2

• 0

What are the side ratios of a 30-60-90 triangle?

• 1 : 1 : 1

• 1 : √2 : 2

• 1 : √3 : 2

• 1 : 2 : √3

What is the sine function in relation to a right triangle?

• The sine function (sin) is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

• The sine function (sin) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

• The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the adjacent side.

• The sine function (sin) is defined as the ratio of the length of the hypotenuse to the length of the adjacent side.

What are the side ratios of a 45-45-90 triangle?

• 1 : 1 : 1

• 1 : 1 : √3

• 1 : 1 : √2

• 1 : 2 : √2

How do you use tangent to find a side length?

• To find a side length using tangent, use the formula: tan(angle) = opposite/adjacent.

• To find a side length using tangent, use the formula: sin(angle) = opposite/hypotenuse.

• To find a side length using tangent, use the formula: cos(angle) = adjacent/hypotenuse.

• To find a side length using tangent, use the formula: tan(angle) = adjacent/opposite.

What is the value of cos(45°)?

• √2/2

• 1/2

• √3/2

• 0

How do you find the length of a side in a 45-45-90 triangle?

• The hypotenuse is x + x.

• The hypotenuse is x - x.

• The hypotenuse is x√2.

• The hypotenuse is 2x.

How do you use sine to find a side length?

• Use the formula: sin(angle) = opposite/hypotenuse, rearranging gives opposite = hypotenuse * sin(angle).

• Multiply the angle by the hypotenuse to find the opposite side.

• Add the angle to the hypotenuse to find the opposite side.

• Use the formula: cos(angle) = adjacent/hypotenuse, rearranging gives adjacent = hypotenuse * cos(angle).

How do you find the length of a side in a 30-60-90 triangle?

• The side opposite the 30° angle is x, the side opposite the 60° angle is x√2, and the hypotenuse is 2x.

• The side opposite the 30° angle is x, the side opposite the 60° angle is x√3, and the hypotenuse is 2x.

• The side opposite the 30° angle is 2x, the side opposite the 60° angle is x√3, and the hypotenuse is x.

• The side opposite the 30° angle is x, the side opposite the 60° angle is 2x, and the hypotenuse is x√3.

What is the value of cos(30°)?

• 1/2

• √2/2

• √3/2

• 1