Posted by **Denise ** on Sunday, July 24, 2011 at 5:28pm.

Find all solutions in the interval [0, pi], 2sec^2x+tan^2x-3=0

- pre cal 2 -
**Reiny**, Sunday, July 24, 2011 at 6:26pm
2sec^2x+tan^2x-3=0

2/cos^2x + sin^2x/cos^2x - 3 = 0

multiply by cos^2x

2 + sin^2x - 3cos^2x = 0

2 + (1 - cos^2x) - 3cos^2x = 0

3 = 4 cos^2x

cos^2 = 3/4

cosx = ± √3/2

x = 30° , 150° , 210° , or 330°

x = π/6, 5π/6 , 7π/6, or 11π/6

## Answer this Question

## Related Questions

- pre cal 2 - Find all solutions in the interval [0, pi], 2sec^2x+tan^2x-3=0
- pre cal 2 - Find all solutions in the interval [0, pi], 2sec^2x+tan^2x-3=0
- Pre-Cal - How do you find the number of solutions(not all the answers) for each ...
- Math (Pre-Calc) - Find all the solutions of the equation in the interval {o,2pi...
- Pre-cal - find all solutions of equation in [0, 2pi) 2 (sec x)^2 + (tan x)^2 -3...
- pre cal - Find all solutions in the interval[0,2pi),cos x/2-sinx=0
- pre cal 2 - find the exact solutions in the interval [0,2pi), sin4x=-2sin2x
- Pre-Cal - Find all the solutions of the equation in the interval (0,2pip) sin(x...
- Pre-Cal(Urgent!!) - Find all the solutions of the equation in the interval (0,...
- Pre-Cal - Approximate the equation's soultions in the interval (o, 2pi). If ...

More Related Questions