Question

Which statements are true about the graph of f(x)=csc(x) ?

Select each correct answer.(Look in the Photo to answer please)

Answer 1

this is the correct answer

Explanation:

Answer 2

• vertical asymptote at π
• vertical asymptote at 2π
• goes through point (π/4, √2)
• goes through point (π/3, 2√3/3)

Explanation:

See the attached graph.

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The cosecant function is the reciprocal of the sine function, so it will have asymptotes where the sine function is zero: at multiples of π.

Since you have memorized the short table of trig functions, you know that ...

sin(π/4) = 1/√2 ⇒ csc(π/4) = √2

sin(π/3) = (√3)/2 ⇒ csc(π/3) = 2/√3 = (2√3)/3