List all points on the graph of y=tanx on the interval [π/2,3π] that have a​ y-coordinate of -1/radical3

Question

(Type ordered pair)

Please teach me and show step by step work so i can learn. Thank you.

Answer 1

well, you know that

tan π/6 = 1/√3

using that as your reference angle, and knowing that for a triangle in standard position tan(u) = y/x, you must have either

-1/√3 (QII)
or
1/-√3 (QIV)

So, for the given domain, that means the solutions are

x = 5π/6, 11π/6, 17π/6

Answer 2

Thank you steve. I understand. But, in the direction, it said to type ordered pair. So how am i suppose to know what y is?.

Answer 3

Did you not read the problem?

points on the graph of y=tanx on the interval [π/2,3π] that have a​ y-coordinate of -1/radical3

geez! y = -1/√3 !!
at each of those points. So, knowing the x values, the pairs are

(5π/6,-1/√3), ...