Trigonometric Functions and Their Properties

The video tutorial explains how to determine the six trigonometric function values given a point on the terminal side of an angle. It covers calculating the hypotenuse using the Pythagorean theorem, simplifying and rationalizing trigonometric expressions, and using a reference triangle to verify calculations.

What are the coordinates of the point given on the terminal side of the angle?

• (-10, 6)

• (-10, -6)

• (10, 6)

• (10, -6)

How do you calculate the hypotenuse R using the Pythagorean theorem?

• R = √(X² + Y²)

• R = X * Y

• R = X - Y

• R = X + Y

What is the simplified form of R after using the factor tree?

• R = √136

• R = √68

• R = 2√34

• R = 4√17

How is cosine theta calculated?

• X/Y

• R/X

• Y/R

• X/R

What is the reciprocal of cosine theta?

• Secant theta

• Sine theta

• Tangent theta

• Cosecant theta

How is sine theta calculated?

• R/Y

• Y/R

• X/Y

• Y/X

What is the reciprocal of sine theta?

• Cosine theta

• Secant theta

• Cosecant theta

• Tangent theta

How is tangent theta calculated?

• R/X

• X/R

• Y/X

• X/Y

What is the reciprocal of tangent theta?

• Cosine theta

• Cosecant theta

• Secant theta

• Cotangent theta

What alternative method can be used to determine the trigonometric function values?

• Drawing a graph

• Using a unit circle

• Sketching a reference triangle

• Using a calculator