Exploring Right Triangle Trigonometry and Ratios

This video tutorial by Mr. D introduces right triangle trigonometry, focusing on sine, cosine, and tangent ratios. It explains how these ratios help solve for unknown angles and sides in right triangles. The video also covers the importance of correctly identifying the hypotenuse, opposite, and adjacent sides based on the angle of focus. Mnemonic devices like SOHCAHTOA are introduced to aid in remembering trigonometric ratios. The tutorial concludes with practical examples of labeling triangle sides, preparing viewers for further exploration of trigonometry in subsequent videos.

What does trigonometry offer that the Pythagorean theorem does not?

• Calculation of only the hypotenuse

• None of the above

• Calculation of angles and all sides

• Calculation of only adjacent sides

What is the sine of an angle defined as in right triangle trigonometry?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

• Opposite over hypotenuse

Which trigonometric ratio is defined as the opposite side over the adjacent side?

• Secant

• Tangent

• Cosine

• Sine

Which side remains constant regardless of the reference angle in a right triangle?

• Opposite

• Adjacent

• Hypotenuse

• None of the above

How is the hypotenuse positioned in a right triangle?

• Opposite the smallest angle

• Adjacent to the reference angle

• Next to the right angle

• Opposite the right angle

Which side changes depending on the reference angle?

• Opposite

• Hypotenuse

• None of the above

• Adjacent

What does the 'CAH' in SOHCAHTOA stand for?

• Tangent equals opposite over adjacent

• Cosine equals adjacent over hypotenuse

• Cosine equals opposite over adjacent

• Sine equals opposite over hypotenuse

What practical application did the teacher recall using SOHCAHTOA for?

• Designing a ramp

• Calculating the height of a building

• Cutting metal at a specific angle

• Building a bridge

What mnemonic is used to remember the trigonometric ratios?

• None of the above

• SOHCAHTOA

• PEMDAS

• ROYGBIV

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

• The side opposite to the right angle

• The side opposite to the reference angle

• The side next to the reference angle

• The longest side of the triangle