Trigonometric Values in Special Triangles

This video tutorial covers the trigonometric function values of special angles using 30-60-90 and 45-45-90 right triangles. It explains how to determine these values quickly and easily, using geometric properties and the Pythagorean theorem. The video also introduces the concept of reference triangles and provides a brief overview of the next recommended video on reference angles.

What is the primary goal of the video tutorial?

• To explore calculus concepts

• To determine trigonometric values using special triangles

• To understand algebraic equations

• To learn about the history of trigonometry

In a 30-60-90 triangle, if the hypotenuse is 2, what is the length of the shortest side?

• Square root of 3

• 1

• 2

• Square root of 2

Using the 30-60-90 triangle, what is the sine of 30 degrees?

• Square root of 3/2

• 1/2

• Square root of 2/2

• 1

What is the tangent of 60 degrees in a 30-60-90 triangle?

• 1

• Square root of 3

• 1/2

• Square root of 3/3

What is the significance of the 30-60-90 triangle in trigonometry?

• It provides a quick way to determine trigonometric values for 30 and 60 degrees

• It is used to calculate angles in calculus

• It is used to solve algebraic equations

• It helps in understanding geometry

In a 45-45-90 triangle, what is the length of the hypotenuse if each leg is 1?

• 1

• Square root of 2

• 2

• Square root of 3

What is the cosine of 45 degrees in a 45-45-90 triangle?

• Square root of 3/2

• 1

• Square root of 2/2

• 1/2

What is the tangent of 45 degrees in a 45-45-90 triangle?

• Square root of 3

• Square root of 2

• 1/2

• 1

If the hypotenuse of a 45-45-90 triangle is 1, what is the length of each leg?

• 1

• Square root of 2

• 1/2

• Square root of 2/2

What is the primary focus of the next recommended video?

• Calculus concepts

• Reference angles

• Geometry basics

• Algebraic equations