Trigonometric Functions and Ratios

This video tutorial introduces basic trigonometry, focusing on right triangles and the relationships between their sides and angles. It explains the SOHCAHTOA mnemonic to remember sine, cosine, and tangent functions. The video provides step-by-step examples of calculating these functions using a right triangle with sides 3, 4, and 5. It concludes with a discussion on the practical applications of trigonometry, emphasizing its usefulness in solving real-world problems.

What is the primary focus of trigonometry?

• Study of algebraic equations

• Study of right triangles

• Study of circles

• Study of calculus

What does the mnemonic SOHCAHTOA help you remember?

• The trigonometric functions

• The properties of circles

• The types of angles

• The order of operations

In the mnemonic SOHCAHTOA, what does 'SOH' stand for?

• Sine is opposite over hypotenuse

• Sine is opposite over adjacent

• Sine is adjacent over hypotenuse

• Sine is hypotenuse over opposite

What is the sine of an angle in a right triangle with opposite side 4 and hypotenuse 5?

• 3/4

• 3/5

• 5/4

• 4/5

In the mnemonic SOHCAHTOA, what does 'CAH' stand for?

• Cosine is opposite over hypotenuse

• Cosine is adjacent over hypotenuse

• Cosine is opposite over adjacent

• Cosine is hypotenuse over adjacent

What is the cosine of an angle in a right triangle with adjacent side 3 and hypotenuse 5?

• 3/5

• 4/5

• 5/3

• 4/3

In the mnemonic SOHCAHTOA, what does 'TOA' stand for?

• Tangent is opposite over hypotenuse

• Tangent is adjacent over hypotenuse

• Tangent is hypotenuse over opposite

• Tangent is opposite over adjacent

What is the tangent of an angle in a right triangle with opposite side 4 and adjacent side 3?

• 5/3

• 4/3

• 3/4

• 5/4

If the tangent of angle θ is 4/3, what is the tangent of the complementary angle x?

• 4/3

• 5/4

• 3/4

• 5/3

Why is it important to know which angle you are using in trigonometry?

• Because it affects the length of the hypotenuse

• Because it changes the trigonometric function used

• Because it affects the calculation of the area

• Because it determines the ratio of sides