Trigonometric Functions and Ratios

This video tutorial introduces six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. It explains the sides of a triangle—opposite, hypotenuse, and adjacent—and how they relate to these functions. The acronym SOHCAHTOA is used to remember the relationships, and the video covers the reciprocal nature of these functions. Formulas and abbreviations for each function are provided, followed by example calculations to determine trigonometric ratios for a given angle.

What is the main focus of the video?

• Geometric shapes

• Calculus derivatives

• Trigonometric functions

• Algebraic equations

Which of the following is NOT a trigonometric function discussed in the video?

• Sine

• Cosine

• Tangent

• Logarithm

What is the side opposite to the angle in a triangle called?

• Adjacent

• Hypotenuse

• Opposite

• Base

What does the acronym SOHCAHTOA help to remember?

• The order of operations

• The trigonometric functions and their ratios

• The types of angles

• The properties of circles

Which trigonometric function is represented by the ratio opposite over hypotenuse?

• Secant

• Tangent

• Cosine

• Sine

Which trigonometric function is represented by the ratio adjacent over hypotenuse?

• Sine

• Cosine

• Tangent

• Cosecant

Which trigonometric function is represented by the ratio opposite over adjacent?

• Secant

• Tangent

• Cosine

• Sine

Which trigonometric function is represented by the ratio hypotenuse over adjacent?

• Sine

• Cosine

• Cosecant

• Secant

Which trigonometric function is represented by the ratio hypotenuse over opposite?

• Cosine

• Cosecant

• Sine

• Secant

Which trigonometric function is represented by the ratio adjacent over opposite?

• Sine

• Cosine

• Secant

• Cotangent