Trigonometric Functions and Applications

This video tutorial is the second part of a series on basic trigonometry. It begins with a recap of previous content and introduces a right triangle to explain the tangent, sine, and cosine of an angle, theta. The instructor uses the mnemonic 'soh cah toa' to help remember the definitions of these trigonometric functions. The video concludes with a discussion on the practical applications of trigonometry and a preview of future topics.

What was the main focus of the second part of the trigonometry presentation?

• History of mathematics

• Solving more examples

• Introduction to calculus

• Advanced algebra

What is the length of the hypotenuse in a right triangle with sides 5 and 6?

• Square root of 31

• 30

• 11

• Square root of 61

Which mnemonic is used to remember the trigonometric functions?

• Soh Cah Toa

• Pemdas

• Bodmas

• Fibonacci

What is the tangent of angle theta in the given triangle?

• 5/6

• 6/5

• 1

• Square root of 61

How is the sine of angle theta expressed after rationalizing the denominator?

• 5/61

• 5 square roots of 61 over 61

• Square root of 61/5

• 61/5

What is the sine of angle theta in the triangle?

• 5/square root of 61

• Square root of 61/5

• 5/6

• 6/5

What is one of the practical applications of trigonometry mentioned?

• Finding the area of a circle

• Solving quadratic equations

• Determining the height of buildings

• Calculating the speed of light

What is the cosine of angle theta in the triangle?

• 5/6

• 6/5

• Square root of 61/6

• 6/square root of 61

How is the cosine of angle theta expressed after rationalizing the denominator?

• 61/6

• 6/61

• 6 square roots of 61 over 61

• Square root of 61/6

What is the main takeaway about trigonometry from the presentation?

• It is only useful for solving triangles

• It is a complex and rarely used field

• It has numerous practical applications

• It is primarily theoretical