Tuesday

July 22, 2014

July 22, 2014

Posted by **v** on Tuesday, December 4, 2012 at 5:51pm.

tan^2 theta -4 = 0

i got theta = arctan 2

is that correct? and if it is how would i write it as a solution?

- trigonmetry -
**Steve**, Tuesday, December 4, 2012 at 6:44pmtheta = arctan2 or arctan -2

because tan^2 = 4, so tan is +/- 2

that's as exact as you can get. Just as pi or sqrt(7) is a perfectly valid number, so is arctan(2)

just be sure to note that since arctan(-2) = pi-arctan(2), the complete solution set is

k*pi+/-Arctan(2)

where Arctan(2) is the principal value.

**Related Questions**

science - Sitting on a horizontal track is a mass of 10kg. One end of the track ...

trig - h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h...

Maths- complex numbers - Find tan(3 theta) in terms of tan theta Use the formula...

Precalculus(NEED HELP ASAP PLEASE!!) - cot(theta)= 3 pi < theta < 3pi/2 ...

Calculus - I wanted to confirm that I solved these problems correctly (we had to...

trigonometry (please double check this) - Solve the following trig equations. ...

easy trig - If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the ...

simple trig - If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the ...

trig - If sin theta is equal to 5/13 and theta is an angle in quadrant II find ...

Math - 1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact...