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 ->  Trigonometry-basics -> 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       Log On


   



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) About Me  (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
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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
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So tan(x) = 0 when x = 0 and when x = pi.
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Cheers,
Stan H.