Understanding Trigonometric Functions

The video tutorial reviews trigonometric functions, focusing on their application in solving vector problems. It explains the components of right triangles, including the adjacent, opposite, and hypotenuse sides, and introduces the mnemonic SOHCAHTOA to remember sine, cosine, and tangent functions. The tutorial also covers inverse functions like cosecant, secant, and cotangent, and demonstrates solving trig functions through a practical example using a right triangle.

Why are trigonometric functions important in this course?

• They are used in geometry proofs.

• They are essential for calculus.

• They are used to solve for vectors.

• They help in solving algebraic equations.

What is the Greek symbol used to define angles in trigonometry?

• Alpha

• Theta

• Beta

• Gamma

Which side of a right triangle is opposite the 90-degree angle?

• Base

• Adjacent

• Opposite

• Hypotenuse

What does the mnemonic SOHCAHTOA help you remember?

• The Pythagorean theorem

• The types of angles

• The trigonometric functions

• The properties of circles

What is the reciprocal of sine called?

• Cosecant

• Secant

• Tangent

• Cotangent

In the example problem, what is the sine of the angle if the opposite side is 2 and the hypotenuse is 8?

• 0.25

• 0.5

• 0.75

• 1.0

How do you calculate secant from cosine?

• Add 1

• Multiply by 2

• Take the reciprocal

• Subtract 1

What is crucial to define first when solving trigonometric problems?

• The hypotenuse

• The angle

• The adjacent side

• The opposite side