Trigonometric Functions and Values

The video tutorial explains how to derive and use exact trigonometric values for specific angles. It begins with an introduction to the concept of exact values, followed by a detailed explanation of trigonometric values for 45-degree angles using a square. The tutorial then covers the derivation of values for 30 and 60 degrees using an equilateral triangle. Finally, it demonstrates how to apply these values to solve trigonometric problems, providing example problems and solutions.

What is the sine of 30 degrees when calculated using a calculator?

• 0.5

• 0.73

• 1.0

• 0.25

Which angle gives a nice trigonometric value when using a calculator?

• 60 degrees

• 30 degrees

• 90 degrees

• 47 degrees

What is the length of the hypotenuse in a 45-degree isosceles triangle with side length 1?

• √3

• 1

• √2

• 2

What is the cosine of 45 degrees?

• 1/√2

• 1

• √2

• 0

In a 45-degree isosceles triangle, what is the tangent of 45 degrees?

• 1

• 0

• √2

• 1/√2

What is the sine of 45 degrees?

• 1/√2

• 1

• √2

• 0

What is the cosine of 45 degrees?

• 0

• 1/√2

• 1

• √2

What is the tangent of 45 degrees?

• 1

• 1/√2

• 0

• √2

What is the sine of 45 degrees?

• 1

• √2

• 0

• 1/√2

What is the cosine of 45 degrees?

• √2

• 1/√2

• 1

• 0