18
QuizMultiple Choice

Trigonometric Functions — Test

Question 18 • Algebra II

Which is an x -intercept of the graph of the function y is equal to tangent of open paren x minus 5 pi over 6 close paren ?

Answer
A
open paren negative 2 pi over 3 comma 0 close paren
B
open paren negative pi over 3 comma 0 close paren
C
open paren pi over 6 comma 0 close paren
D
open paren 5 pi over 6 comma 0 close paren

Explanation

The tangent function equals 0 whenever its angle is an integer multiple of π. Set the angle x − 5π/6 equal to 0, giving x = 5π/6, so (5π/6, 0) is an x-intercept. The correct choice is B, (5π/6, 0).

AI-written and checked against the verified answer.

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