Question

what does the graph y=tan(-theta) look like? at what points does it cross the x axis?

Answer 1

Here's the graph of y=tan(x).
Take some x-value, say x=1. Then look where -x is: it is -1 of course. The value you see there, is the value for x=1 of the graph you are looking for...
Plot it. Do the same for some other values. You then will know how that graph looks.

Answer 2

Here is that graph of y=tan(x):

Answer 3

for -tan does the curve go the opposit direction?

Answer 4

It does!

Answer 5

are the pts. on x axis pi/2, pi and 3pi/2 or pi, 2 pi, etc.?

Answer 6

No, they are just 1, 2, 3... radians, so you cannot read off the values very well...

Answer 7

In fact, there is no difference between y=-tanx and y=tan(-x).
It is a characteristic of the tangent function.

It is an uneven function.

Uneven functions can be recognised by their graph: the origin is point of symmetry.
Or: if you rotate the graph around the origin, it turns back on itself.

y=sinx has the same property: -sinx=sin(-x).

Answer 8

those values are not the choices on my graph-my choices are pi's

Answer 9

You don't need them.
You have to describe the graph.
That can be done without looking up all kinds of values.

Answer 10

when you say no to the pis and give me numbers like 1,2,3 is that what is on the calculator.? How do I know where pi is on calcu? Can I make numbers appear on the calculator?

Answer 11

but I need to select correct graph given to me and 2 of the choice have pts. of pi/s, pi/ 3 pi/2 or pi, 2pi. Which one do I select? the pi and 2 pi?

Answer 12

the graph is to be sketched between 0 to 2 pi

Answer 13

do i select the graph with 4 curves or 2 curves?

Answer 14

Between 0 and 2pi, there are two "half graphs" and one "whole graph" between them, if you know what I mean...

Answer 15

got it thanks

Answer 16

YW!