Trigonometric Functions and Their Properties

The video tutorial guides students through evaluating the six trigonometric functions by identifying the sides of a triangle and applying the Pythagorean theorem. It covers calculating sine, cosine, and tangent ratios, rationalizing denominators, and finding reciprocal functions like cosecant, secant, and cotangent.

What are the three sides of a triangle involved in trigonometric functions?

• Height, base, and opposite

• Hypotenuse, opposite, and adjacent

• Base, height, and hypotenuse

• Adjacent, opposite, and base

Which side of the triangle connects the theta and the 90-degree angle?

• Opposite side

• Adjacent side

• Base

• Hypotenuse

What theorem is used to find the missing side of a triangle?

• Triangle inequality theorem

• Cosine rule

• Sine rule

• Pythagorean theorem

What is the value of x if 7 squared equals 6 squared plus x squared?

• Square root of 7

• Square root of 13

• Square root of 49

• Square root of 36

How do you calculate the sine of theta?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

What is the process of removing a square root from the denominator called?

• Rationalizing

• Simplifying

• Expanding

• Factoring

Which trigonometric function is calculated as opposite over adjacent?

• Secant

• Cosine

• Sine

• Tangent

What is the reciprocal of sine called?

• Secant

• Cosecant

• Tangent

• Cotangent

What is the reciprocal of cosine?

• Secant

• Cosecant

• Cotangent

• Tangent

What is the reciprocal of tangent?

• Secant

• Cosecant

• Cotangent

• Sine