Trigonometric Functions and Their Properties

The video tutorial by Ripley covers trigonometric properties, focusing on the unit circle and the definitions of sine, cosine, and tangent. It explains reciprocal and co-function identities, and explores the symmetry and periodicity of trigonometric functions. The tutorial emphasizes the graphical representation of these functions, highlighting even and odd functions, and discusses the periodic nature of sine, cosine, and tangent.

What is the primary source of values for trigonometric functions?

• The Cartesian plane

• The Pythagorean theorem

• The unit circle

• The Fibonacci sequence

In which quadrant are all trigonometric functions positive?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

Which trigonometric functions are positive in the second quadrant?

• Sine and cosecant

• Cosine and secant

• All functions

• Tangent and cotangent

What is the reciprocal of sine?

• Secant

• Tangent

• Cosine

• Cosecant

How is tangent of theta defined in terms of sine and cosine?

• 1/cos(theta)

• cos(theta)/sin(theta)

• sin(theta)/cos(theta)

• 1/sin(theta)

What is the relationship between cosine of theta and cosine of negative theta?

• They are equal

• They are negatives of each other

• They are unrelated

• They are reciprocals

What type of symmetry does the graph of cosine exhibit?

• X-axis symmetry

• Y-axis symmetry

• Origin symmetry

• No symmetry

Which trigonometric function is considered an odd function?

• Secant

• Sine

• Cosine

• Cosecant

What is the period of the sine function?

• 4 Pi

• 3 Pi

• 2 Pi

• Pi

How often does the tangent function repeat itself?

• Every 3 Pi

• Every 2 Pi

• Every 4 Pi

• Every Pi