Question

Find the exact value of the vertical asymptotes for 0 less than of equal to theta less than or equal to pi for the function y=cot(3theta)

Answer 1

Cotangent is cosine ÷ sine, so it would be where sine = 0.

Answer 2

(That is, where sin(3Θ) = 0.)

Answer 3

Is that then answer? I dont understand

Answer 4

Use what you know about sine and cosine. Imagine a unit circle. At what angles will sine be zero?

Answer 5

Vertical asymptotes occur where functions are undefined; this is typically when a zero appears in the denominator. For cotangent, sine is in the denominator, so when is sine = 0?