6.5 Graphs of Tan, Cot, Csc, and Sec

Front

What is the period of the function y=tan^3/(4)θ?

Back

4π/3

Front

Which of the following is an asymptote for secant? (Options: x= π, x = 3π / 2, x = -2π, x = 0)

Back

x = 3π / 2

Front

Determine an equation for the graph: (Options: y=sec(x), y=2sec(x), y=2csc(x), y= csc(2x))

Back

y=2sec(x)

Front

Which equation matches the graph? (Options: y = -tan(x-π/2), y = -tan(x+π/2), y = cot(x+π/2), y = -cot(x+π/2))

Back

y = cot(x+π/2)

Front

What is the range of the graph? (Options: (-∞, ∞), (-∞, -2] ∪ [2, ∞), [-2, 2], x / x ≠ π/2 + kπ)

Back

(-∞, -2] ∪ [2, ∞)

Front

Define the function secant (sec).

Back

Secant is the reciprocal of cosine: sec(θ) = 1/cos(θ).

Front

What is the domain of the secant function?

Back

The domain of sec(θ) is all real numbers except θ = (2n+1)π/2, where n is an integer.

Front

What is the relationship between the tangent and cotangent functions?

Back

Cotangent is the reciprocal of tangent: cot(θ) = 1/tan(θ).

Front

What is the period of the secant function?

Back

The period of sec(θ) is 2π.

Front

What is the range of the tangent function?

Back

The range of tan(θ) is (-∞, ∞).