Find all the values of x in the interval 0 < or equal to x < or equal to 2pie for which tan(squared)x=3.

i've only managed 2 get

tan x = 3squared root

now wat? :s

**0**

# 2004 Paper 1 Question 3

Started by Azie, May 14 2007 10:27 PM

2 replies to this topic

### #1

Posted 14 May 2007 - 10:27 PM

### #2

Posted 14 May 2007 - 10:33 PM

Don't have time to learn how to do latex but here it is:

tansquaredx = 3

tanx= squaredroot 3

tan(squaredroot 3) = 60 degrees, cause of the triangles. But x won't just equal to pi/3, because when x is pi/3, in the tan wave there's a lot of points to which x is equal to pi/3, so you work out when x is pi/3, but make sure that it's between 0 and 2pi

If you don't understand I'll try and explain better XD

Edit: Just realised my explanation is really shaky

tansquaredx = 3

tanx= squaredroot 3

tan(squaredroot 3) = 60 degrees, cause of the triangles. But x won't just equal to pi/3, because when x is pi/3, in the tan wave there's a lot of points to which x is equal to pi/3, so you work out when x is pi/3, but make sure that it's between 0 and 2pi

If you don't understand I'll try and explain better XD

Edit: Just realised my explanation is really shaky

"Do not be frightened of death; it is life that causes pain"

### #3

Posted 14 May 2007 - 10:58 PM

i get up 2 the point where the answer is = to 60 becoz of the triangles but then u lose me after that

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