Trigonometric Functions and Relationships

This video tutorial covers trigonometric functions, focusing on their application in right triangles. It explains the parts of a right triangle, how to calculate sine, cosine, and tangent, and introduces the concept of cofunctions. The tutorial also discusses special angle triangles like 30-60-90 and 45-45-90, and how these relate to the unit circle. Practical examples are provided to illustrate the calculation of trig functions and the use of the Pythagorean theorem.

What is the primary focus of trigonometric functions discussed in the introduction?

• Trigonometric functions of acute angles

• Trigonometric functions of obtuse angles

• Trigonometric functions of right angles

• Trigonometric functions of reflex angles

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

• Adjacent side

• Opposite side

• Hypotenuse

• Base

What does the mnemonic SOHCAHTOA help you remember?

• The order of operations

• The properties of a circle

• The relationships between trigonometric functions

• The types of angles in a triangle

If angle A in a right triangle has an opposite side of 7 and a hypotenuse of 25, what is sin(A)?

• 7/25

• 24/25

• 7/24

• 25/7

What theorem is used to find the missing side length in a right triangle?

• Pythagorean theorem

• Tangent rule

• Sine rule

• Cosine rule

What are cofunctions in trigonometry?

• Functions that are equal for angles summing to 180 degrees

• Functions that are equal for angles summing to 90 degrees

• Functions that are equal for angles summing to 360 degrees

• Functions that are equal for angles summing to 270 degrees

In a 30-60-90 triangle, what is the ratio of the side opposite the 30-degree angle to the hypotenuse?

• 2:1

• 1:2

• 1:√3

• √3:2