Trigonometric Functions and Right Triangles

This video tutorial covers right triangle trigonometry, focusing on understanding trigonometric functions and their applications. It begins with an introduction to similar triangles and the basic trigonometric functions, followed by an explanation of the SOHCAHTOA acronym and reciprocal functions. The video then explores special right triangles, such as 30-60-90 and 45-45-90 triangles, and their properties. It provides exact trigonometric values for special angles and demonstrates their use in solving application problems. The tutorial concludes with a practical example of calculating the height of a building using trigonometry.

What is the primary focus of right triangle trigonometry?

• Finding the perimeter of triangles

• Identifying different types of triangles

• Understanding the relationships between angles and sides

• Calculating the area of triangles

Why are similar triangles important in trigonometry?

• They have varying side lengths

• They help in understanding constant ratios

• They have different angle measures

• They are always equilateral

In a right triangle, what is the side opposite the right angle called?

• Opposite side

• Hypotenuse

• Adjacent side

• Base

Which trigonometric function is the reciprocal of sine?

• Secant

• Cosecant

• Tangent

• Cotangent

What does the acronym SOHCAHTOA help you remember?

• The properties of similar triangles

• The relationships between angles and sides

• The formulas for area and perimeter

• The types of triangles

In the example problem, what is the sine of theta if the opposite side is 4 and the hypotenuse is 5?

• 1/2

• 3/5

• 5/4

• 4/5

What is a characteristic of a 30-60-90 triangle?

• The longest side is half the hypotenuse

• The hypotenuse is twice the shortest side

• All sides are equal

• The angles are all 60 degrees

What is the exact value of the sine of 30 degrees?

• √3/2

• 1

• 1/2

• √2/2

In the application problem, what trigonometric function is used to find the height of the building?

• Sine

• Cosine

• Tangent

• Cosecant