SOLUTION: Refer to the graph of y = tan(x) to find the exact values of x in the interval [-Pi/2, 3*Pi/2] that satisfy the equation. Separate your answers with commas. (a) tan(x) = 0 ; x

Algebra.Com
Question 263040: Refer to the graph of y = tan(x) to find the exact values of x in the interval [-Pi/2, 3*Pi/2] that satisfy the equation. Separate your answers with commas.
(a) tan(x) = 0 ; x

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Refer to the graph of y = tan(x) to find the exact values of x in the interval [-Pi/2, 3*Pi/2] that satisfy the equation. Separate your answers with commas.
(a) tan(x) = 0 ; x
-----
Since tan(x) = sin(x)/cos(x), tan(x) = 0 when sin(x) = 0.
Between -pi/2 and 3(pi/2) sin(x) is zero when x = 0 and
when x = -pi
---
So tan(x) = 0 when x = 0 and when x = pi.
===========================================
Cheers,
Stan H.

RELATED QUESTIONS

Refer to the graph of y = tan x to find the exact values of x in the interval... (answered by lwsshak3)
Refer to the graph of y = tan x to find the exact values of x in the interval... (answered by lwsshak3)
Refer to the graph of y = tan x to find the exact values of x in the interval (−π/2, (answered by Alan3354)
Refer to the graph of y = sin(x) or y = cos(x) to find the exact values of x in the... (answered by Alan3354)
Refer to the graph of y = sin x to find the exact values of x in the interval... (answered by lwsshak3)
Refer to the graph of y = tan(x) to find the exact values of x in the interval... (answered by lwsshak3)
Refer to the graph of y = tan x to find the exact values of x in the interval... (answered by brysca)
Refer to the graph of y = tan x to find the exact values of x in the interval... (answered by richard1234)
Refer to the graph of y = tan x to find the exact values of x in the interval... (answered by lwsshak3)