Finding Missing Sides in Right-Angle Triangles with SOHCAHTOA

In this video, Lucy revisits trigonometry, focusing on the sine, cosine, and tangent functions to solve right-angle triangle problems. The video explains the SOHCAHTOA mnemonic to remember the relationships between angles and sides. Two example problems are solved: one using sine to find a missing side when given an angle and hypotenuse, and another using tangent to find a missing side when given an angle and adjacent side. The video concludes with a summary and a preview of the next lesson.

What does the 'S' in SOH stand for?

• Sine

• Secant

• Side

• Square

In a right-angle triangle, which side is the hypotenuse?

• The side opposite the smallest angle

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle

Which trigonometric function is used to find a side opposite the given angle?

• Cosine

• Cotangent

• Tangent

• Sine

How do you calculate the length of the opposite side when the hypotenuse and an angle are known?

• Multiply the hypotenuse by sine of the angle

• Divide the hypotenuse by sine of the angle

• Divide the hypotenuse by cosine of the angle

• Multiply the hypotenuse by cosine of the angle

What is the value of sin(30°)?

• 0

• 0.707

• 1

• 0.5

In the context of trigonometry, what does 'adjacent' refer to?

• The side opposite the given angle

• The longest side of the triangle

• The side next to the given angle, but not the hypotenuse

• The side opposite the hypotenuse

Which function would you use to find a side adjacent to the given angle?

• Cosine

• Secant

• Tangent

• Sine

What is the result of tan(45°)?

• 1

• 0

• 0.5

• 2

When given an angle and the length of the opposite side, how do you find the length of the adjacent side?

• Divide the opposite by tan of the angle

• Divide the opposite by sine of the angle

• Multiply the opposite by tan of the angle

• Multiply the opposite by cotangent of the angle

What does TOA in SOH CAH TOA stand for?

• Tangent equals Opposite minus Adjacent

• Tangent equals Opposite times Adjacent

• Tangent equals Opposite over Adjacent

• Tangent equals Opposite plus Adjacent