Posted by Lsat on Thursday, June 2, 2011 at 9:41pm.
In google type:
wolfram alpha
When you see lis of results click on:
Wolfram Alpha:Computational Knowledge Engine
When page be open in rectangle type:
solve tan^2(x)=1-sec(x)
and click option =
After few secons you will see result.
Then clic option Show steps
Remark:
When you see step
Simplify trigonometric functions:
If we know that:
tan^2(x)=sec^2(x)-1
tan^2(x)+sec^2(x)-1=0 becomes:
sec^2(x)-1+sec(x)-1=0
sec^2 x - 1= 1 - secx
sec^2 x + sec x - 2 = 0
(secx + 2)(secx -1) = 0
secx = -2 or secx = 1
cosx = -1/2 or cosx = 1
x = 120° or x = 240° or x = 0 or x = 360°
x = 0, 2π/3 , 4π/3, 2π
Thank you!
find all solutions to the equation 2x^3+12x^2+50x=0
find all solutions to the equation 2x^3+12x^2+50x=0
Related Questions
Trig - Find all solutions of equation on interval [0,2pi] 1=cot^2x + cscx
trig - Find all solutions of the equation 2sin^2x-cosx=1 in the interval [0,2pi...
math - Solve the equation in the interval [0,2pi]. List all solutions tan^2(x)+0...
trig - how can i find all the exact solutions to the equation : 2cos^2x + 3sinx...
Trigonometry - Find all solutions of the equation in the interval [0,2pi] ...
More trig - Use the Quadratic Formula to solve the equation in the interval [0,...
trig - Find ALL solutions to the equation on the interval [0, 2pie]: 2sin(1/2X...
Pre-Calculus - Find the solutions for sec^2x+secx=2 that fit into the interval [...
trig - Find the exact solutions of the equation in the interval [0,2pi). sin(x/2...
trig - determine the solutions for tanxcos^2x-tanx=0 in the interval XE[-2pi,2pi...
For Further Reading