Question

exact value of tan(-7pi/3)

Answer 1

First, how do we define the "tangent" function?
Second, in which quadrant will we find the angle -7Pi/3?

Answer 2

-1.73205081

Answer 3

@michelle27: Please note: providing answers is a violation of the OpenStudy Code of Conduct. Guide the other person towards finding the correct answer, if you can.

Answer 4

Alright sorry @mathmale ...
Anyways since it is an equation as such, your main "work" you have to do is make sure you enter the signs and digits in correctly... For this particular one it would be "tan" then put in your opening parenthesis, then your inclusive numbers followed by a closing parenthesis, then solve!

Answer 5

Also I just now realized I provided the incorrect answer anyways... its actually -0.128641974

Answer 6

Michelle: for the second time, do NOT provide answers!

Answer 7

@jmedran :
First, how do we define the "tangent" function?
Second, in which quadrant will we find the angle -7Pi/3?

Answer 8

@mathmale there isn't really any work for it... Its simply punching numbers into a calculator, sorry

Answer 9

@michelle27: The point here is that you and I should be helping jmedran along the way to finding his own answers. If you can do that, without spilling the beans, great; otherwise I must ask you to stay out of this discussion.

Answer 10

@mathmale Alright, I apologize, but like I said, ... For this particular one it would be "tan" then put in your opening parenthesis, then your inclusive numbers followed by a closing parenthesis, then solve!

Answer 11

I am not understanding anything that you are saying if i signed up is because I need guidance on how to find the answer as if I am a three year old looking at a problem like this for the first time. If you answer me with a question you are just looking for me to fail the whole problem

Answer 12

@jmedran : the questions I posed to you are valid and are closely related to finding a solution to the trig problem you've posted:
First, how do we define the "tangent" function?
Second, in which quadrant will we find the angle -7Pi/3?

The sine function is defined as (opposite side) / (hypotenuse) , which is a ratio.
The cosine: (adjacent side) / (hypotenuse), also a ratio.

Please type in here the definition of the tangent function.

Answer 13

About quadrants: If we draw a circle and then draw in the x- and y-axes, those two axes form four quadrants, as shown here:

Answer 14

This information is basic to an understanding of the trig functions.
Also, knowing at least the first three trig functions by definition is essential: sine, cosine and tangent. The other three are the cotangent, secant and cosecant.
Have you a good algebra II or trig reference book on hand?
Could you ask questions of your own to clear up whatever is not currently clear to you?
I sincerely want to help you, but I need and expect your involvement in your own learning.

Answer 15

What I am looking to find out is the formula to it.. It is really difficult for me to remember all the meanings of everything is you tell me I have to add, subtract multiply, divide its much easier for me to work the problem at hand.. if you are are asking me to give you definitions you are going to loose me. So all I understand so far is that there is 4 quadrants two in the Y axis and 2 in the X axis, so knowing that how does that help me solve the problem?

Answer 16

the tangent function is defined as\[\tan \theta=\frac{ opposite }{adjacent }\]where "opposite" refers to the side of the triangle opposite the angle in question, and "adjacent" refers to the side adjacent (next to) the angle.

Answer 17

So our job is to find the lengths of the opposite side and adjacent side for the angle \[\theta=-7\pi/3,\] which is in Quadrant IV and looks the same as it would had we drawn the angle -pi/3. Does this make any sense at all to you? I will draw this angle:

Answer 18

Note that I can "borrow" that triangle from this illustration and write in the side lengths that are characteristic for a 30-60-90 degree triangle: