Trigonometric Ratios in Right Triangles

The video tutorial explains how to find the sine, cosine, and tangent of acute angles in right triangles using the mnemonic SOHCAHTOA. It provides examples with angles D, F, G, and H, demonstrating how to calculate these trigonometric ratios. The tutorial also covers the importance of rationalizing denominators and reducing fractions, emphasizing the need to write out SOHCAHTOA for accuracy.

What is the first step in solving for sine, cosine, and tangent in a right triangle?

• Identify the hypotenuse

• Write down SOHCAHTOA

• Measure the angles

• Calculate the area

What does the 'S' in SOHCAHTOA stand for?

• Square

• Sum

• Side

• Sine

How do you calculate the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

What is the cosine of angle D if the adjacent side is 3 and the hypotenuse is 5?

• 3/5

• 4/5

• 5/3

• 5/4

What is the tangent of angle D if the opposite side is 4 and the adjacent side is 3?

• 4/5

• 4/3

• 3/4

• 5/4

What is the sine of angle F if the opposite side is 3 and the hypotenuse is 5?

• 3/5

• 4/5

• 5/3

• 5/4

What is the cosine of angle F if the adjacent side is 4 and the hypotenuse is 5?

• 5/3

• 5/4

• 4/5

• 3/5

Why is it important to write out SOHCAHTOA for complex problems?

• It is a requirement for tests

• It ensures accuracy in solving problems

• It helps in memorizing formulas

• It is a tradition

What is the reduced form of the sine of angle G if the opposite side is 4 and the hypotenuse is 8?

• 3/4

• 2/3

• 4/5

• 1/2

What is the cosine of angle G if the adjacent side is 4√3 and the hypotenuse is 8?

• 3/4

• 2/√3

• 1/2

• √3/2