Exploring Trigonometric Ratios

What does the hypotenuse of a right triangle represent?

• The longest side of the triangle

• The shortest side of the triangle

• The side adjacent to the right angle

• The side opposite to the right angle

What does the adjacent side of an angle in a right triangle represent?

• The side forming the right angle

• The side opposite to the angle

• The longest side of the triangle

• The side forming the angle with the hypotenuse

How is the sine of an angle in a right triangle defined?

• Opposite over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

What does SOHCAHTOA stand for?

• Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent

• Sine = Opposite/Adjacent, Cosine = Hypotenuse/Adjacent, Tangent = Opposite/Hypotenuse

• Sine = Adjacent/Opposite, Cosine = Opposite/Hypotenuse, Tangent = Hypotenuse/Adjacent

• Sine = Hypotenuse/Opposite, Cosine = Hypotenuse/Adjacent, Tangent = Adjacent/Opposite

In the given example, what is the sine of angle Z?

• 21/35

• 3/5

• 4/5

• 28/35

What is the cosine of angle Z in the first example?

• 28/35

• 3/5

• 4/5

• 21/35

How do you simplify the tangent of angle A in the second example?

• 16/30 without simplification

• 30/34 reduced to 15/17

• 16/34 reduced to 8/17

• 16/30 reduced to 8/15

What is the correct way to find the tangent of an angle?

• Opposite over Adjacent

• Opposite over Hypotenuse

• Hypotenuse over Opposite

• Adjacent over Opposite

Which of the following is not a trigonometric ratio?

• Hypotenuse

• Tangent

• Cosine

• Sine

What is the purpose of trigonometric ratios in a right triangle?

• To calculate the area of the triangle

• To determine the angles and lengths of the sides

• To find the perimeter of the triangle

• To identify the type of triangle