Trigonometric Functions and Their Properties

The video discusses continuous functions, focusing on trigonometric functions like sine, cosine, tangent, cotangent, secant, and cosecant. It explains that sine and cosine are always continuous, while the others are continuous only within their domains. The video provides a detailed proof of the continuity of the tangent function, emphasizing the importance of the denominator not being zero.

Which trigonometric function is the focus of this video?

• Sine

• Cosine

• Tangent

• Cosecant

What is the value of sine at zero degrees?

• 1

• 0

• Undefined

• Infinity

Which of the following functions is always continuous?

• Sine

• Tangent

• Secant

• Cotangent

At what angle is the tangent function not defined?

• 45 degrees

• 0 degrees

• 90 degrees

• 180 degrees

What happens to the tangent function when the cosine is zero?

• It becomes negative

• It becomes one

• It becomes zero

• It becomes undefined

Which trigonometric function is defined as one over cosine?

• Sine

• Cosecant

• Tangent

• Secant

What is the domain of the tangent function?

• Only positive numbers

• Only negative numbers

• All real numbers

• All real numbers except odd multiples of π/2

Which trigonometric functions are continuous only in their domains?

• Tangent, Cotangent, Secant, and Cosecant

• Sine and Cosine

• Tangent and Cotangent

• Secant and Cosecant

What is the value of secant at 90 degrees?

• 0

• 1

• Undefined

• Infinity

Which trigonometric function is defined as sine over cosine?

• Tangent

• Cotangent

• Secant

• Cosecant