Cosecant Secant Cotangent

Fill in the (a)  

Draw a secant function.

Draw a cosecant function.

Draw a cotangent function.

Secant, cosecant, and cotangent are all the (a)   functions of cosine, sin, and tangent.

What function is this graph?

• secant

• cosecant

• Cotangent

Which of the following is the graph of 𝑓(𝑥) = −2 csc ( 1/2 (𝑥))

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Which of the following describes the graph of 𝑓(𝑥) = 2cotx

• Vertical asymptotes at 𝑥 = 𝜋 2 + 𝜋𝑘, where k is an integer, and the range is all real numbers

• Vertical asymptotes at 𝑥 = 𝜋 2 + 𝜋𝑘, where k is an integer, and the range is (−∞, −2] ∪ [2, ∞)

• Vertical asymptotes at 𝑥 = 𝜋 + 𝜋𝑘, where k is an integer, and the range is all real numbers

• Vertical asymptotes at 𝑥 = 𝜋 + 𝜋𝑘, where k is an integer, and the range is (−∞, −2] ∪ [2, ∞)