Math
posted by Anonymous .
In the interval 0 </ x < 2pi, determine the equations of all asymptotes for the function y=tan x.
a) x=0
b) x=pi/2
c) x=0, x=pi
d) x=pi/2, 3pi/2

Math 
MathMate
See if you can figure out what the values of tan(x) are at x=0,π/2, π and 3*pi;/2 to get an idea.
Even better, look up the graph of tan(x), noting that tan(x)=tan(x) (odd function) and tan(x) = tan(x+π).
See for example:
http://images.google.ca/imgres?imgurl=http://www.analyzemath.com/trigonometry/graph_tangent.gif&imgrefurl=http://www.analyzemath.com/trigonometry/properties.html&usg=__15mZqtEGVbBJpy38TrM4b8suxSM=&h=297&w=338&sz=5&hl=en&start=2&tbnid=0RO3fUwazvjljM:&tbnh=105&tbnw=119&prev=/images%3Fq%3Dtangent%2Bfunction%26gbv%3D2%26hl%3Den%26sa%3DG
Respond to this Question
Similar Questions

PreCalculuscheck answers
State the period and phase shift of the function y=4tan(1/2x + 3pi/8) a) 2pi, 3pi/4 b) pi, 3pi/8 c) 2pi, 3pi/8 d) pi, 3pi/8 Answer: d 2) What is the equation for the inverse of y=cos x+3: a) y=Arccos(x+3) b) y=Arccos x3 c) y=Arccos … 
PreCal(Please check)
1) Find the Asymptotes: y = 2 sec 2pi x pi/2b and 3pi/2b pi/2(2pi) = pi/4 and 3pi/4 Is this correct? 
trig
Solve cos x1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2 
Math
Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]? 
APCalculus
For the function y=2sin(x)cos^2(x) on [0, 2pi] find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of … 
Calculus
Find all points of extrema on the interval [0, 2pi] if y=x+sinx (1.1+(3pi/2)) (pi, pi) (1,0) ((3pi/2), 0) none of these I got pi as my critical number but I'm confused with the intervals. 
Please check my Calculus
1. Given f(x)=6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward … 
math
Find all solutions to the equation tan(t)=1/tan (t) in the interval 0<t<2pi. Solve the equation in the interval [0, 2pi]. The answer must be a multiple of pi 2sin(t)cos(t) + sin(t) 2cos(t)1=0 Find all solutions of the equation … 
ordinary differential equation
a periodic function f(t) is defined by f(t) = t+pi pi<t<0 f(t) = pi 0<t<pi f(t) =f(t+2pi) i) sketch the graph of the periodic function over the interval (3pi, 3pi) II) find the Fourier Series of f(t) 
Trig
Find all solutions of the equation in the interval [0,2pi) 2 cos^2 xcos x = 0 2cos^2 + cosx + 0 (x+1/2) (x+0/2) (2x+1) (x+0) 1/2,0 2Pi/3, 4pi/3, pi/2, 3pi/2 my teacher circled pi/2 and 3pi/2 What did I do wrong?