Understanding Trigonometric Functions

This video tutorial introduces trigonometric functions in the context of right triangles. It explains the sine, cosine, and tangent functions, and how they relate to the sides of a triangle. The video also covers the concept of similar triangles and equivalent ratios, and introduces the reciprocal functions: cosecant, secant, and cotangent. Practical examples are provided to demonstrate how to calculate these functions and apply them to solve real-world problems.

What is the primary use of trigonometric functions as introduced in the video?

• To calculate the area of a circle

• To solve problems involving right triangles

• To measure the volume of a cube

• To determine the speed of a car

Which of the following is NOT a basic trigonometric function?

• Sine

• Cosine

• Secant

• Tangent

What does the acronym S.O.H.C.A.H.T.O.A. help you remember?

• The types of angles in geometry

• The steps in solving a quadratic equation

• The ratios of sides in trigonometric functions

• The order of operations in algebra

If angle A is bisected, which side is considered the opposite side?

• The side opposite to angle A

• The longest side of the triangle

• The side adjacent to angle A

• The hypotenuse

Which trigonometric function is the reciprocal of sine?

• Secant

• Tangent

• Cosecant

• Cotangent

What is the reciprocal of the cosine function?

• Cotangent

• Secant

• Cosecant

• Tangent

How do you find the missing side of a right triangle using the Pythagorean theorem?

• Add the squares of the two sides

• Divide the hypotenuse by one side

• Subtract the square of one side from the square of the hypotenuse

• Multiply the two sides

What is the sine of angle A in a 5-12-13 triangle?

• 13/5

• 12/13

• 5/13

• 12/5

In a right triangle, if the hypotenuse is 8 and the opposite side is 4, what is the cosecant of the angle?

• 2

• 1/2

• 4

• 8

What is the simplified form of 8 divided by 4√3?

• 2√3/3

• 2/√3

• 4√3

• 3/2√3