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### Given Tangent, Find Angle

```
Date: 7/2/96 at 19:43:18
From: Anonymous
Subject: Find Angle Given Tangent

If given:

tan y=3n/4n

How do I find the value of y?
```

```
Date: 7/2/96 at 21:56:47
From: Doctor Robert
Subject: Re: Find Angle Given Tangent

WEll, first of all, if tan y = 3n/4n, then tan y = 3/4 = .75.  One
cannot really solve this algebraically, so we invent an inverse
function called the arctan function.  y = arctan .75, that is, y is
the angle or number whose tangent is .75.  If you have a calculator
that has trig functions on it you can easily find the values.  If you
work in degrees, arctan .75=36.87 degrees. If you work in radians,
arctan .75 = .6435 radians. Hope that this helps.

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

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