Trigonometric Functions and Their Properties

The video tutorial provides a detailed explanation of trigonometric ratios, focusing on cosine and sine. It begins with an introduction to trigonometric functions and the mnemonic SOHCAHTOA. The tutorial then explains how to identify the adjacent and hypotenuse sides of a right triangle. Using the Pythagorean theorem, it demonstrates how to calculate the hypotenuse. Finally, it calculates the cosine and sine of a given angle, theta, using the identified sides.

What are we asked to find in the given problem?

• Values of cosine and sine

• Values of tangent and cotangent

• Values of secant and cosecant

• Values of sine and tangent

Which mnemonic is used to remember the trigonometric functions?

• PEMDAS

• SOHCAHTOA

• FOIL

• BODMAS

What does the 'CAH' part of SOHCAHTOA represent?

• Tangent = Opposite / Adjacent

• Cotangent = Adjacent / Opposite

• Cosine = Adjacent / Hypotenuse

• Sine = Opposite / Hypotenuse

Which side is considered the hypotenuse in a right triangle?

• The side opposite the right angle

• Both A and C

• The side adjacent to the right angle

• The longest side

What is the length of the adjacent side in the given problem?

• 8

• 5

• 4

• 7

Which theorem is used to calculate the hypotenuse?

• Binomial theorem

• Pythagorean theorem

• Fundamental theorem of calculus

• Euclidean algorithm

What is the value of the hypotenuse in the given problem?

• Square root of 16

• Square root of 81

• Square root of 65

• Square root of 49

What is the cosine of theta in the given problem?

• 4 / 7

• 7 / sqrt(65)

• 4 / sqrt(65)

• 7 / 4

What does the 'SOH' part of SOHCAHTOA represent?

• Tangent = Opposite / Adjacent

• Cosine = Adjacent / Hypotenuse

• Cotangent = Adjacent / Opposite

• Sine = Opposite / Hypotenuse

What is the sine of theta in the given problem?

• 4 / sqrt(65)

• 7 / 4

• 7 / sqrt(65)

• 4 / 7