Posted by **Katie** on Wednesday, February 22, 2012 at 9:16pm.

√5sec˛x-2secx=5

i have to solve this equation on the interval [0, 2π).

- MATH -
**Reiny**, Wednesday, February 22, 2012 at 10:40pm
let secx = y , so we have

√5y^2 - 2y - 5 = 0

using the quad formula,

a = √5 , b = -2, and c = -5

y = (2 ± √(4 - 4(√5)(-5) )/2√5

= (2 ± √(4+20√5) )/(2√5)

= appr 2.008 or -1.114

then since secx = 1/cosx

cosx = .498 or cosx = -.898

setting my calculator to radians ...

x = **1.0495** or 2π-1.0495 = **5.234**

x = **2.686** or **3.597**

## Answer this Question

## Related Questions

- Precalc/Trig - Sorry there are quite a few problems, but I just need to know if ...
- Math, please help - Which of the following are trigonometric identities? (Can be...
- Trig - find all solutions to the equation √3 csc(2theta)=-2 Would the ...
- Trigonometry - Solve the equation for all values of x. 2sin(2x)-√3=0, on ...
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- math - Solve the equation for 0<x<2π √(2) sin(x)+√(2) cos...
- math - If the circumference of a circle of radius r inches is equal to the ...
- Math Help - Hi! Can someone help check this for me and see if I'm doing it right...
- maths - I will be thankfull to you if you help me to solve the below problem: 6...
- Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...