Exploring Right Triangle Trigonometry Basics

This video tutorial introduces right triangle trigonometry, explaining the relationships between angles and side ratios in right triangles. It covers the definitions of hypotenuse, opposite, and adjacent sides, and introduces the trigonometric ratios: sine, cosine, and tangent. The tutorial provides examples of how to calculate these ratios and discusses how to use calculators to find trigonometric values. It also highlights the importance of angle perspective in determining which sides are opposite or adjacent.

What is the primary focus of right triangle trigonometry?

• The calculation of area in any triangle

• The relationship between angles and side ratios in obtuse triangles

• The properties of isosceles triangles

• The relationship between angles and side ratios in right triangles

What is the longest side of a right triangle called?

• Opposite

• Adjacent

• Hypotenuse

• Base

Which abbreviation is used for the hypotenuse?

• HYP or H

• OPP or O

• HYP or Y

• ADJ or A

What is the sine of an angle in a right triangle?

• Hypotenuse over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 3/4

• 4/5

• 5/3

• 3/5

What does the mnemonic 'SOHCAHTOA' help you remember?

• The properties of angles

• The types of triangles

• The ratios for sine, cosine, and tangent

• The names of the sides of a triangle

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

• 4/5

• 3/4

• 3/5

• 5/3

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

• 4/5

• 4/3

• 3/4

• 5/4

What should you ensure before using a calculator to find trigonometric values?

• The calculator is in fraction mode

• The calculator is in radian mode

• The calculator is in degree mode

• The calculator is in scientific mode

What is the sine of 37 degrees rounded to three decimal places?

• 0.604

• 0.601

• 0.603

• 0.602