## solving the equation 3 sec^2 pheta +7= 11 tan pheta

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
mannilea
Posts: 4
Joined: Wed Sep 09, 2009 2:33 pm
Contact:

### solving the equation 3 sec^2 pheta +7= 11 tan pheta

hi wasnt sure whether the two questions should be together or seperate sorry if they were meant to got together

solve the equation 3 sec^2 pheta +7= 11 tan pheta giving all values of x to 3sf in the interval 0<pheta<2pi

sorry for the bad setting out dont no how to get pheta and pi signs

thanks for any help

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
Does "pheta" perhaps mean "theta", written as "$\theta$"...?

Since the square of the secant can be related to the tangent, a good first step would probably be to replace $\sec^2(\theta)$ with $1\, +\, \tan^2(\theta)$, and proceed with solving the resulting quadratic equation in tangent.