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### Trignometric Functions

```
Date: 5/31/96 at 20:47:8
From: Anonymous
Subject: Trignometric Functions

Hi!  I have to find the four missing trig functions. I've had a
problem with the following two problems:

1. tan x = root3/3 and cos x = -root3/2

I set up a nice little right triangle, using the tangent and cosine,
to find out the other functions, but the numbers weren't consistant,
or something like that. I don't really know how to explain it, but it
didn't work.

I had the same problem with the following:

2. sec x = root 2 and sin x = -root2/2

I appreciate any help!
```

```
Date: 6/2/96 at 17:18:40
From: Doctor Anthony
Subject: Re: Trignometric Functions

1) Cos(x) = -sqrt(3)/2 means the angle is in the third quadrant
(= 180 + 30 = 210 degrees).  tan(x) = 1/sqrt(3) = sqrt(3)/3
sin(x) = -1/2  cosec(x) = -2, cot(x) = sqrt(3), sec(x) = -2/sqrt(3)

2) sin(x)=-sqrt(2)/2 and a positive sec(x) means we are in the fourth
quadrant (= 360-45 = 315 degrees), cos(x)= 1/sqrt(2),
cosec(x) = -sqrt(2) tan(x) = -1,  cot(x) = -1

-Doctor Anthony,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Trigonometry

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